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Finding the Fourth Proportional to 7,504.38, 10,353.42 and 4,517.91

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Solution

The fourth proportional to 7,504.38, 10,353.42 and 4,517.91 is: 6,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.38 : 10,353.42 = 4,517.91 : x
  2. Step 2: Convert to fraction form
    7,504.38/10,353.42 = 4,517.91/x
  3. Step 3: Cross multiply
    7,504.38x = 10,353.42 × 4,517.91
  4. Step 4: Simplify right side
    7,504.38x = 46,775,819.75
  5. Step 5: Solve for x
    x = 46,775,819.75/7,504.38
  6. Step 6: Final answer
    x = 6,233.14

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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.