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Finding the Fourth Proportional to 8,107.80, 12,132.90 and 7,416.60

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Solution

The fourth proportional to 8,107.80, 12,132.90 and 7,416.60 is: 11,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.80 : 12,132.90 = 7,416.60 : x
  2. Step 2: Convert to fraction form
    8,107.80/12,132.90 = 7,416.60/x
  3. Step 3: Cross multiply
    8,107.80x = 12,132.90 × 7,416.60
  4. Step 4: Simplify right side
    8,107.80x = 89,984,866.14
  5. Step 5: Solve for x
    x = 89,984,866.14/8,107.80
  6. Step 6: Final answer
    x = 11,098.56

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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.