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Finding the Fourth Proportional to 11,278.61, 15,564.47 and 6,174.20

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Solution

The fourth proportional to 11,278.61, 15,564.47 and 6,174.20 is: 8,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.61 : 15,564.47 = 6,174.20 : x
  2. Step 2: Convert to fraction form
    11,278.61/15,564.47 = 6,174.20/x
  3. Step 3: Cross multiply
    11,278.61x = 15,564.47 × 6,174.20
  4. Step 4: Simplify right side
    11,278.61x = 96,098,041.98
  5. Step 5: Solve for x
    x = 96,098,041.98/11,278.61
  6. Step 6: Final answer
    x = 8,520.38

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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.