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Finding the Fourth Proportional to 8,564.80, 12,847.20 and 8,491.90

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Solution

The fourth proportional to 8,564.80, 12,847.20 and 8,491.90 is: 12,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.80 : 12,847.20 = 8,491.90 : x
  2. Step 2: Convert to fraction form
    8,564.80/12,847.20 = 8,491.90/x
  3. Step 3: Cross multiply
    8,564.80x = 12,847.20 × 8,491.90
  4. Step 4: Simplify right side
    8,564.80x = 109,097,137.68
  5. Step 5: Solve for x
    x = 109,097,137.68/8,564.80
  6. Step 6: Final answer
    x = 12,737.85

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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.