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Finding the Fourth Proportional to 10,335.83, 15,491.43 and 7,198.85

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Solution

The fourth proportional to 10,335.83, 15,491.43 and 7,198.85 is: 10,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.83 : 15,491.43 = 7,198.85 : x
  2. Step 2: Convert to fraction form
    10,335.83/15,491.43 = 7,198.85/x
  3. Step 3: Cross multiply
    10,335.83x = 15,491.43 × 7,198.85
  4. Step 4: Simplify right side
    10,335.83x = 111,520,519.58
  5. Step 5: Solve for x
    x = 111,520,519.58/10,335.83
  6. Step 6: Final answer
    x = 10,789.71

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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.