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Finding the Fourth Proportional to 7,174.35, 10,747.53 and 4,044.78

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Solution

The fourth proportional to 7,174.35, 10,747.53 and 4,044.78 is: 6,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.35 : 10,747.53 = 4,044.78 : x
  2. Step 2: Convert to fraction form
    7,174.35/10,747.53 = 4,044.78/x
  3. Step 3: Cross multiply
    7,174.35x = 10,747.53 × 4,044.78
  4. Step 4: Simplify right side
    7,174.35x = 43,471,394.39
  5. Step 5: Solve for x
    x = 43,471,394.39/7,174.35
  6. Step 6: Final answer
    x = 6,059.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.