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Finding the Fourth Proportional to 7,549.57, 10,419.60 and 7,217.38

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Solution

The fourth proportional to 7,549.57, 10,419.60 and 7,217.38 is: 9,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.57 : 10,419.60 = 7,217.38 : x
  2. Step 2: Convert to fraction form
    7,549.57/10,419.60 = 7,217.38/x
  3. Step 3: Cross multiply
    7,549.57x = 10,419.60 × 7,217.38
  4. Step 4: Simplify right side
    7,549.57x = 75,202,212.65
  5. Step 5: Solve for x
    x = 75,202,212.65/7,549.57
  6. Step 6: Final answer
    x = 9,961.13

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Why These Related Problems?

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