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Finding the Fourth Proportional to 10,422.57, 15,633.78 and 2,631.39

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Solution

The fourth proportional to 10,422.57, 15,633.78 and 2,631.39 is: 3,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.57 : 15,633.78 = 2,631.39 : x
  2. Step 2: Convert to fraction form
    10,422.57/15,633.78 = 2,631.39/x
  3. Step 3: Cross multiply
    10,422.57x = 15,633.78 × 2,631.39
  4. Step 4: Simplify right side
    10,422.57x = 41,138,572.35
  5. Step 5: Solve for x
    x = 41,138,572.35/10,422.57
  6. Step 6: Final answer
    x = 3,947.07

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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.