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Finding the Fourth Proportional to 7,766.12, 10,717.14 and 4,229.12

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Solution

The fourth proportional to 7,766.12, 10,717.14 and 4,229.12 is: 5,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.12 : 10,717.14 = 4,229.12 : x
  2. Step 2: Convert to fraction form
    7,766.12/10,717.14 = 4,229.12/x
  3. Step 3: Cross multiply
    7,766.12x = 10,717.14 × 4,229.12
  4. Step 4: Simplify right side
    7,766.12x = 45,324,071.12
  5. Step 5: Solve for x
    x = 45,324,071.12/7,766.12
  6. Step 6: Final answer
    x = 5,836.13

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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.