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Finding the Fourth Proportional to 8,531.39, 12,798.28 and 2,983.47

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Solution

The fourth proportional to 8,531.39, 12,798.28 and 2,983.47 is: 4,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.39 : 12,798.28 = 2,983.47 : x
  2. Step 2: Convert to fraction form
    8,531.39/12,798.28 = 2,983.47/x
  3. Step 3: Cross multiply
    8,531.39x = 12,798.28 × 2,983.47
  4. Step 4: Simplify right side
    8,531.39x = 38,183,284.43
  5. Step 5: Solve for x
    x = 38,183,284.43/8,531.39
  6. Step 6: Final answer
    x = 4,475.62

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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.