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Finding the Fourth Proportional to 8,457.59, 12,688.61 and 3,192.68

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Solution

The fourth proportional to 8,457.59, 12,688.61 and 3,192.68 is: 4,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.59 : 12,688.61 = 3,192.68 : x
  2. Step 2: Convert to fraction form
    8,457.59/12,688.61 = 3,192.68/x
  3. Step 3: Cross multiply
    8,457.59x = 12,688.61 × 3,192.68
  4. Step 4: Simplify right side
    8,457.59x = 40,510,591.97
  5. Step 5: Solve for x
    x = 40,510,591.97/8,457.59
  6. Step 6: Final answer
    x = 4,789.85

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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.