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Finding the Fourth Proportional to 7,677.74, 11,516.13 and 2,747.13

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Solution

The fourth proportional to 7,677.74, 11,516.13 and 2,747.13 is: 4,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.74 : 11,516.13 = 2,747.13 : x
  2. Step 2: Convert to fraction form
    7,677.74/11,516.13 = 2,747.13/x
  3. Step 3: Cross multiply
    7,677.74x = 11,516.13 × 2,747.13
  4. Step 4: Simplify right side
    7,677.74x = 31,636,306.21
  5. Step 5: Solve for x
    x = 31,636,306.21/7,677.74
  6. Step 6: Final answer
    x = 4,120.53

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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.