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Finding the Fourth Proportional to 10,422.41, 15,638.87 and 5,227.88

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Solution

The fourth proportional to 10,422.41, 15,638.87 and 5,227.88 is: 7,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.41 : 15,638.87 = 5,227.88 : x
  2. Step 2: Convert to fraction form
    10,422.41/15,638.87 = 5,227.88/x
  3. Step 3: Cross multiply
    10,422.41x = 15,638.87 × 5,227.88
  4. Step 4: Simplify right side
    10,422.41x = 81,758,070.57
  5. Step 5: Solve for x
    x = 81,758,070.57/10,422.41
  6. Step 6: Final answer
    x = 7,844.45

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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.