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Finding the Fourth Proportional to 10,447.76, 15,672.17 and 3,427.15

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Solution

The fourth proportional to 10,447.76, 15,672.17 and 3,427.15 is: 5,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.76 : 15,672.17 = 3,427.15 : x
  2. Step 2: Convert to fraction form
    10,447.76/15,672.17 = 3,427.15/x
  3. Step 3: Cross multiply
    10,447.76x = 15,672.17 × 3,427.15
  4. Step 4: Simplify right side
    10,447.76x = 53,710,877.42
  5. Step 5: Solve for x
    x = 53,710,877.42/10,447.76
  6. Step 6: Final answer
    x = 5,140.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.