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Finding the Fourth Proportional to 8,489.44, 12,732.72 and 2,332

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Solution

The fourth proportional to 8,489.44, 12,732.72 and 2,332 is: 3,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.44 : 12,732.72 = 2,332 : x
  2. Step 2: Convert to fraction form
    8,489.44/12,732.72 = 2,332/x
  3. Step 3: Cross multiply
    8,489.44x = 12,732.72 × 2,332
  4. Step 4: Simplify right side
    8,489.44x = 29,692,703.04
  5. Step 5: Solve for x
    x = 29,692,703.04/8,489.44
  6. Step 6: Final answer
    x = 3,497.60

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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.