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Finding the Fourth Proportional to 10,335.92, 15,491.57 and 7,198.93

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Solution

The fourth proportional to 10,335.92, 15,491.57 and 7,198.93 is: 10,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.92 : 15,491.57 = 7,198.93 : x
  2. Step 2: Convert to fraction form
    10,335.92/15,491.57 = 7,198.93/x
  3. Step 3: Cross multiply
    10,335.92x = 15,491.57 × 7,198.93
  4. Step 4: Simplify right side
    10,335.92x = 111,522,711.39
  5. Step 5: Solve for x
    x = 111,522,711.39/10,335.92
  6. Step 6: Final answer
    x = 10,789.82

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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.