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Finding the Fourth Proportional to 10,290.96, 15,433.74 and 3,715.92

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Solution

The fourth proportional to 10,290.96, 15,433.74 and 3,715.92 is: 5,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.96 : 15,433.74 = 3,715.92 : x
  2. Step 2: Convert to fraction form
    10,290.96/15,433.74 = 3,715.92/x
  3. Step 3: Cross multiply
    10,290.96x = 15,433.74 × 3,715.92
  4. Step 4: Simplify right side
    10,290.96x = 57,350,543.14
  5. Step 5: Solve for x
    x = 57,350,543.14/10,290.96
  6. Step 6: Final answer
    x = 5,572.91

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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.