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Finding the Fourth Proportional to 10,892.68, 15,031.02 and 6,177.40

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Solution

The fourth proportional to 10,892.68, 15,031.02 and 6,177.40 is: 8,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.68 : 15,031.02 = 6,177.40 : x
  2. Step 2: Convert to fraction form
    10,892.68/15,031.02 = 6,177.40/x
  3. Step 3: Cross multiply
    10,892.68x = 15,031.02 × 6,177.40
  4. Step 4: Simplify right side
    10,892.68x = 92,852,622.95
  5. Step 5: Solve for x
    x = 92,852,622.95/10,892.68
  6. Step 6: Final answer
    x = 8,524.31

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