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Finding the Fourth Proportional to 10,015.74, 15,007.08 and 3,438.30

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Solution

The fourth proportional to 10,015.74, 15,007.08 and 3,438.30 is: 5,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.74 : 15,007.08 = 3,438.30 : x
  2. Step 2: Convert to fraction form
    10,015.74/15,007.08 = 3,438.30/x
  3. Step 3: Cross multiply
    10,015.74x = 15,007.08 × 3,438.30
  4. Step 4: Simplify right side
    10,015.74x = 51,598,843.16
  5. Step 5: Solve for x
    x = 51,598,843.16/10,015.74
  6. Step 6: Final answer
    x = 5,151.78

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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.