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Finding the Fourth Proportional to 10,422.72, 15,631.04 and 4,180.72

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Solution

The fourth proportional to 10,422.72, 15,631.04 and 4,180.72 is: 6,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.72 : 15,631.04 = 4,180.72 : x
  2. Step 2: Convert to fraction form
    10,422.72/15,631.04 = 4,180.72/x
  3. Step 3: Cross multiply
    10,422.72x = 15,631.04 × 4,180.72
  4. Step 4: Simplify right side
    10,422.72x = 65,349,001.55
  5. Step 5: Solve for x
    x = 65,349,001.55/10,422.72
  6. Step 6: Final answer
    x = 6,269.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.