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Finding the Fourth Proportional to 8,531.43, 11,780.64 and 5,350.07

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Solution

The fourth proportional to 8,531.43, 11,780.64 and 5,350.07 is: 7,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.43 : 11,780.64 = 5,350.07 : x
  2. Step 2: Convert to fraction form
    8,531.43/11,780.64 = 5,350.07/x
  3. Step 3: Cross multiply
    8,531.43x = 11,780.64 × 5,350.07
  4. Step 4: Simplify right side
    8,531.43x = 63,027,248.64
  5. Step 5: Solve for x
    x = 63,027,248.64/8,531.43
  6. Step 6: Final answer
    x = 7,387.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.