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Finding the Fourth Proportional to 7,401.92, 10,217.48 and 4,569.75

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Solution

The fourth proportional to 7,401.92, 10,217.48 and 4,569.75 is: 6,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.92 : 10,217.48 = 4,569.75 : x
  2. Step 2: Convert to fraction form
    7,401.92/10,217.48 = 4,569.75/x
  3. Step 3: Cross multiply
    7,401.92x = 10,217.48 × 4,569.75
  4. Step 4: Simplify right side
    7,401.92x = 46,691,306.38
  5. Step 5: Solve for x
    x = 46,691,306.38/7,401.92
  6. Step 6: Final answer
    x = 6,308.00

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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.