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Finding the Fourth Proportional to 8,721, 12,027 and 6,488.52

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Solution

The fourth proportional to 8,721, 12,027 and 6,488.52 is: 8,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 12,027 = 6,488.52 : x
  2. Step 2: Convert to fraction form
    8,721/12,027 = 6,488.52/x
  3. Step 3: Cross multiply
    8,721x = 12,027 × 6,488.52
  4. Step 4: Simplify right side
    8,721x = 78,037,430.04
  5. Step 5: Solve for x
    x = 78,037,430.04/8,721
  6. Step 6: Final answer
    x = 8,948.22

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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.