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Finding the Fourth Proportional to 10,097.96, 15,148.18 and 3,343.82

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Solution

The fourth proportional to 10,097.96, 15,148.18 and 3,343.82 is: 5,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.96 : 15,148.18 = 3,343.82 : x
  2. Step 2: Convert to fraction form
    10,097.96/15,148.18 = 3,343.82/x
  3. Step 3: Cross multiply
    10,097.96x = 15,148.18 × 3,343.82
  4. Step 4: Simplify right side
    10,097.96x = 50,652,787.25
  5. Step 5: Solve for x
    x = 50,652,787.25/10,097.96
  6. Step 6: Final answer
    x = 5,016.14

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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.