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Finding the Fourth Proportional to 10,132.59, 15,198.13 and 3,558.84

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Solution

The fourth proportional to 10,132.59, 15,198.13 and 3,558.84 is: 5,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.59 : 15,198.13 = 3,558.84 : x
  2. Step 2: Convert to fraction form
    10,132.59/15,198.13 = 3,558.84/x
  3. Step 3: Cross multiply
    10,132.59x = 15,198.13 × 3,558.84
  4. Step 4: Simplify right side
    10,132.59x = 54,087,660.42
  5. Step 5: Solve for x
    x = 54,087,660.42/10,132.59
  6. Step 6: Final answer
    x = 5,337.99

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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.