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Finding the Fourth Proportional to 8,713.47, 13,049.31 and 5,004.48

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Solution

The fourth proportional to 8,713.47, 13,049.31 and 5,004.48 is: 7,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.47 : 13,049.31 = 5,004.48 : x
  2. Step 2: Convert to fraction form
    8,713.47/13,049.31 = 5,004.48/x
  3. Step 3: Cross multiply
    8,713.47x = 13,049.31 × 5,004.48
  4. Step 4: Simplify right side
    8,713.47x = 65,305,010.91
  5. Step 5: Solve for x
    x = 65,305,010.91/8,713.47
  6. Step 6: Final answer
    x = 7,494.72

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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.