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Finding the Fourth Proportional to 10,468.61, 15,701.67 and 3,446.88

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Solution

The fourth proportional to 10,468.61, 15,701.67 and 3,446.88 is: 5,169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.61 : 15,701.67 = 3,446.88 : x
  2. Step 2: Convert to fraction form
    10,468.61/15,701.67 = 3,446.88/x
  3. Step 3: Cross multiply
    10,468.61x = 15,701.67 × 3,446.88
  4. Step 4: Simplify right side
    10,468.61x = 54,121,772.29
  5. Step 5: Solve for x
    x = 54,121,772.29/10,468.61
  6. Step 6: Final answer
    x = 5,169.91

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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.