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Finding the Fourth Proportional to 8,390.97, 12,571.92 and 5,097.15

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Solution

The fourth proportional to 8,390.97, 12,571.92 and 5,097.15 is: 7,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.97 : 12,571.92 = 5,097.15 : x
  2. Step 2: Convert to fraction form
    8,390.97/12,571.92 = 5,097.15/x
  3. Step 3: Cross multiply
    8,390.97x = 12,571.92 × 5,097.15
  4. Step 4: Simplify right side
    8,390.97x = 64,080,962.03
  5. Step 5: Solve for x
    x = 64,080,962.03/8,390.97
  6. Step 6: Final answer
    x = 7,636.90

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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.