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Finding the Fourth Proportional to 10,228.56, 15,337.99 and 3,562.73

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Solution

The fourth proportional to 10,228.56, 15,337.99 and 3,562.73 is: 5,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.56 : 15,337.99 = 3,562.73 : x
  2. Step 2: Convert to fraction form
    10,228.56/15,337.99 = 3,562.73/x
  3. Step 3: Cross multiply
    10,228.56x = 15,337.99 × 3,562.73
  4. Step 4: Simplify right side
    10,228.56x = 54,645,145.53
  5. Step 5: Solve for x
    x = 54,645,145.53/10,228.56
  6. Step 6: Final answer
    x = 5,342.41

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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.