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Finding the Fourth Proportional to 10,432.68, 15,640.11 and 3,857.64

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Solution

The fourth proportional to 10,432.68, 15,640.11 and 3,857.64 is: 5,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.68 : 15,640.11 = 3,857.64 : x
  2. Step 2: Convert to fraction form
    10,432.68/15,640.11 = 3,857.64/x
  3. Step 3: Cross multiply
    10,432.68x = 15,640.11 × 3,857.64
  4. Step 4: Simplify right side
    10,432.68x = 60,333,913.94
  5. Step 5: Solve for x
    x = 60,333,913.94/10,432.68
  6. Step 6: Final answer
    x = 5,783.17

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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.