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Finding the Fourth Proportional to 7,507.38, 10,359.28 and 4,149.74

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Solution

The fourth proportional to 7,507.38, 10,359.28 and 4,149.74 is: 5,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.38 : 10,359.28 = 4,149.74 : x
  2. Step 2: Convert to fraction form
    7,507.38/10,359.28 = 4,149.74/x
  3. Step 3: Cross multiply
    7,507.38x = 10,359.28 × 4,149.74
  4. Step 4: Simplify right side
    7,507.38x = 42,988,266.79
  5. Step 5: Solve for x
    x = 42,988,266.79/7,507.38
  6. Step 6: Final answer
    x = 5,726.14

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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.