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Finding the Fourth Proportional to 8,571, 11,829 and 5,034.52

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Solution

The fourth proportional to 8,571, 11,829 and 5,034.52 is: 6,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571 : 11,829 = 5,034.52 : x
  2. Step 2: Convert to fraction form
    8,571/11,829 = 5,034.52/x
  3. Step 3: Cross multiply
    8,571x = 11,829 × 5,034.52
  4. Step 4: Simplify right side
    8,571x = 59,553,337.08
  5. Step 5: Solve for x
    x = 59,553,337.08/8,571
  6. Step 6: Final answer
    x = 6,948.24

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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.