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Finding the Fourth Proportional to 8,491.20, 12,730.65 and 5,710.98

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Solution

The fourth proportional to 8,491.20, 12,730.65 and 5,710.98 is: 8,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.20 : 12,730.65 = 5,710.98 : x
  2. Step 2: Convert to fraction form
    8,491.20/12,730.65 = 5,710.98/x
  3. Step 3: Cross multiply
    8,491.20x = 12,730.65 × 5,710.98
  4. Step 4: Simplify right side
    8,491.20x = 72,704,487.54
  5. Step 5: Solve for x
    x = 72,704,487.54/8,491.20
  6. Step 6: Final answer
    x = 8,562.33

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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.