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Finding the Fourth Proportional to 10,290.17, 15,435.24 and 2,498.97

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Solution

The fourth proportional to 10,290.17, 15,435.24 and 2,498.97 is: 3,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.17 : 15,435.24 = 2,498.97 : x
  2. Step 2: Convert to fraction form
    10,290.17/15,435.24 = 2,498.97/x
  3. Step 3: Cross multiply
    10,290.17x = 15,435.24 × 2,498.97
  4. Step 4: Simplify right side
    10,290.17x = 38,572,201.70
  5. Step 5: Solve for x
    x = 38,572,201.70/10,290.17
  6. Step 6: Final answer
    x = 3,748.45

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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.