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Finding the Fourth Proportional to 10,446.98, 15,663.15 and 5,175.56

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Solution

The fourth proportional to 10,446.98, 15,663.15 and 5,175.56 is: 7,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.98 : 15,663.15 = 5,175.56 : x
  2. Step 2: Convert to fraction form
    10,446.98/15,663.15 = 5,175.56/x
  3. Step 3: Cross multiply
    10,446.98x = 15,663.15 × 5,175.56
  4. Step 4: Simplify right side
    10,446.98x = 81,065,494.30
  5. Step 5: Solve for x
    x = 81,065,494.30/10,446.98
  6. Step 6: Final answer
    x = 7,759.71

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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.