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Finding the Fourth Proportional to 8,272.98, 12,402.50 and 3,589.47

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Solution

The fourth proportional to 8,272.98, 12,402.50 and 3,589.47 is: 5,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.98 : 12,402.50 = 3,589.47 : x
  2. Step 2: Convert to fraction form
    8,272.98/12,402.50 = 3,589.47/x
  3. Step 3: Cross multiply
    8,272.98x = 12,402.50 × 3,589.47
  4. Step 4: Simplify right side
    8,272.98x = 44,518,383.73
  5. Step 5: Solve for x
    x = 44,518,383.73/8,272.98
  6. Step 6: Final answer
    x = 5,381.18

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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.