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Finding the Fourth Proportional to 10,146.89, 15,221.20 and 2,651.44

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Solution

The fourth proportional to 10,146.89, 15,221.20 and 2,651.44 is: 3,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.89 : 15,221.20 = 2,651.44 : x
  2. Step 2: Convert to fraction form
    10,146.89/15,221.20 = 2,651.44/x
  3. Step 3: Cross multiply
    10,146.89x = 15,221.20 × 2,651.44
  4. Step 4: Simplify right side
    10,146.89x = 40,358,098.53
  5. Step 5: Solve for x
    x = 40,358,098.53/10,146.89
  6. Step 6: Final answer
    x = 3,977.39

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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.