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Finding the Fourth Proportional to 11,167,040.34, 15,410,978.98 and 6,205,463.16

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Solution

The fourth proportional to 11,167,040.34, 15,410,978.98 and 6,205,463.16 is: 8,563,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167,040.34 : 15,410,978.98 = 6,205,463.16 : x
  2. Step 2: Convert to fraction form
    11,167,040.34/15,410,978.98 = 6,205,463.16/x
  3. Step 3: Cross multiply
    11,167,040.34x = 15,410,978.98 × 6,205,463.16
  4. Step 4: Simplify right side
    11,167,040.34x = 95,632,262,274,370.55
  5. Step 5: Solve for x
    x = 95,632,262,274,370.55/11,167,040.34
  6. Step 6: Final answer
    x = 8,563,796.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.