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Finding the Fourth Proportional to 8,489.66, 12,752.94 and 7,382.49

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Solution

The fourth proportional to 8,489.66, 12,752.94 and 7,382.49 is: 11,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.66 : 12,752.94 = 7,382.49 : x
  2. Step 2: Convert to fraction form
    8,489.66/12,752.94 = 7,382.49/x
  3. Step 3: Cross multiply
    8,489.66x = 12,752.94 × 7,382.49
  4. Step 4: Simplify right side
    8,489.66x = 94,148,503.62
  5. Step 5: Solve for x
    x = 94,148,503.62/8,489.66
  6. Step 6: Final answer
    x = 11,089.78

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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.