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Finding the Fourth Proportional to 7,499.38, 10,349.08 and 4,142.15

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Solution

The fourth proportional to 7,499.38, 10,349.08 and 4,142.15 is: 5,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.38 : 10,349.08 = 4,142.15 : x
  2. Step 2: Convert to fraction form
    7,499.38/10,349.08 = 4,142.15/x
  3. Step 3: Cross multiply
    7,499.38x = 10,349.08 × 4,142.15
  4. Step 4: Simplify right side
    7,499.38x = 42,867,441.72
  5. Step 5: Solve for x
    x = 42,867,441.72/7,499.38
  6. Step 6: Final answer
    x = 5,716.13

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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.