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Finding the Fourth Proportional to 7,502.03, 10,352.69 and 4,144.85

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Solution

The fourth proportional to 7,502.03, 10,352.69 and 4,144.85 is: 5,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.03 : 10,352.69 = 4,144.85 : x
  2. Step 2: Convert to fraction form
    7,502.03/10,352.69 = 4,144.85/x
  3. Step 3: Cross multiply
    7,502.03x = 10,352.69 × 4,144.85
  4. Step 4: Simplify right side
    7,502.03x = 42,910,295.38
  5. Step 5: Solve for x
    x = 42,910,295.38/7,502.03
  6. Step 6: Final answer
    x = 5,719.83

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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.