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Finding the Fourth Proportional to 7,732.70, 11,600.48 and 3,516.25

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Solution

The fourth proportional to 7,732.70, 11,600.48 and 3,516.25 is: 5,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.70 : 11,600.48 = 3,516.25 : x
  2. Step 2: Convert to fraction form
    7,732.70/11,600.48 = 3,516.25/x
  3. Step 3: Cross multiply
    7,732.70x = 11,600.48 × 3,516.25
  4. Step 4: Simplify right side
    7,732.70x = 40,790,129.80
  5. Step 5: Solve for x
    x = 40,790,129.80/7,732.70
  6. Step 6: Final answer
    x = 5,275.02

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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.