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Finding the Fourth Proportional to 7,766.43, 10,717.59 and 4,229.61

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Solution

The fourth proportional to 7,766.43, 10,717.59 and 4,229.61 is: 5,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.43 : 10,717.59 = 4,229.61 : x
  2. Step 2: Convert to fraction form
    7,766.43/10,717.59 = 4,229.61/x
  3. Step 3: Cross multiply
    7,766.43x = 10,717.59 × 4,229.61
  4. Step 4: Simplify right side
    7,766.43x = 45,331,225.84
  5. Step 5: Solve for x
    x = 45,331,225.84/7,766.43
  6. Step 6: Final answer
    x = 5,836.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.