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Finding the Fourth Proportional to 10,198.17, 15,293.13 and 3,954.89

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Solution

The fourth proportional to 10,198.17, 15,293.13 and 3,954.89 is: 5,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.17 : 15,293.13 = 3,954.89 : x
  2. Step 2: Convert to fraction form
    10,198.17/15,293.13 = 3,954.89/x
  3. Step 3: Cross multiply
    10,198.17x = 15,293.13 × 3,954.89
  4. Step 4: Simplify right side
    10,198.17x = 60,482,646.91
  5. Step 5: Solve for x
    x = 60,482,646.91/10,198.17
  6. Step 6: Final answer
    x = 5,930.74

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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.