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Finding the Fourth Proportional to 10,606.62, 15,911.97 and 4,032.29

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Solution

The fourth proportional to 10,606.62, 15,911.97 and 4,032.29 is: 6,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.62 : 15,911.97 = 4,032.29 : x
  2. Step 2: Convert to fraction form
    10,606.62/15,911.97 = 4,032.29/x
  3. Step 3: Cross multiply
    10,606.62x = 15,911.97 × 4,032.29
  4. Step 4: Simplify right side
    10,606.62x = 64,161,691.34
  5. Step 5: Solve for x
    x = 64,161,691.34/10,606.62
  6. Step 6: Final answer
    x = 6,049.21

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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.