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Finding the Fourth Proportional to 10,523.96, 15,781.31 and 3,945.54

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Solution

The fourth proportional to 10,523.96, 15,781.31 and 3,945.54 is: 5,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.96 : 15,781.31 = 3,945.54 : x
  2. Step 2: Convert to fraction form
    10,523.96/15,781.31 = 3,945.54/x
  3. Step 3: Cross multiply
    10,523.96x = 15,781.31 × 3,945.54
  4. Step 4: Simplify right side
    10,523.96x = 62,265,789.86
  5. Step 5: Solve for x
    x = 62,265,789.86/10,523.96
  6. Step 6: Final answer
    x = 5,916.57

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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.