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Finding the Fourth Proportional to 8,513.38, 12,689.59 and 8,097.46

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Solution

The fourth proportional to 8,513.38, 12,689.59 and 8,097.46 is: 12,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.38 : 12,689.59 = 8,097.46 : x
  2. Step 2: Convert to fraction form
    8,513.38/12,689.59 = 8,097.46/x
  3. Step 3: Cross multiply
    8,513.38x = 12,689.59 × 8,097.46
  4. Step 4: Simplify right side
    8,513.38x = 102,753,447.44
  5. Step 5: Solve for x
    x = 102,753,447.44/8,513.38
  6. Step 6: Final answer
    x = 12,069.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.