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Finding the Fourth Proportional to 11,712.55, 16,163.34 and 6,407.38

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Solution

The fourth proportional to 11,712.55, 16,163.34 and 6,407.38 is: 8,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.55 : 16,163.34 = 6,407.38 : x
  2. Step 2: Convert to fraction form
    11,712.55/16,163.34 = 6,407.38/x
  3. Step 3: Cross multiply
    11,712.55x = 16,163.34 × 6,407.38
  4. Step 4: Simplify right side
    11,712.55x = 103,564,661.45
  5. Step 5: Solve for x
    x = 103,564,661.45/11,712.55
  6. Step 6: Final answer
    x = 8,842.20

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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.