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Finding the Fourth Proportional to 8,070.38, 12,098.52 and 6,507.62

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Solution

The fourth proportional to 8,070.38, 12,098.52 and 6,507.62 is: 9,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.38 : 12,098.52 = 6,507.62 : x
  2. Step 2: Convert to fraction form
    8,070.38/12,098.52 = 6,507.62/x
  3. Step 3: Cross multiply
    8,070.38x = 12,098.52 × 6,507.62
  4. Step 4: Simplify right side
    8,070.38x = 78,732,570.72
  5. Step 5: Solve for x
    x = 78,732,570.72/8,070.38
  6. Step 6: Final answer
    x = 9,755.75

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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.