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Finding the Fourth Proportional to 10,486.43, 15,708.98 and 5,543.81

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Solution

The fourth proportional to 10,486.43, 15,708.98 and 5,543.81 is: 8,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.43 : 15,708.98 = 5,543.81 : x
  2. Step 2: Convert to fraction form
    10,486.43/15,708.98 = 5,543.81/x
  3. Step 3: Cross multiply
    10,486.43x = 15,708.98 × 5,543.81
  4. Step 4: Simplify right side
    10,486.43x = 87,087,494.15
  5. Step 5: Solve for x
    x = 87,087,494.15/10,486.43
  6. Step 6: Final answer
    x = 8,304.78

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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.