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Finding the Fourth Proportional to 10,400.39, 15,584.14 and 8,443.02

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Solution

The fourth proportional to 10,400.39, 15,584.14 and 8,443.02 is: 12,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.39 : 15,584.14 = 8,443.02 : x
  2. Step 2: Convert to fraction form
    10,400.39/15,584.14 = 8,443.02/x
  3. Step 3: Cross multiply
    10,400.39x = 15,584.14 × 8,443.02
  4. Step 4: Simplify right side
    10,400.39x = 131,577,205.70
  5. Step 5: Solve for x
    x = 131,577,205.70/10,400.39
  6. Step 6: Final answer
    x = 12,651.18

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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.