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Finding the Fourth Proportional to 11,458.20, 15,813.78 and 6,742.92

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Solution

The fourth proportional to 11,458.20, 15,813.78 and 6,742.92 is: 9,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.20 : 15,813.78 = 6,742.92 : x
  2. Step 2: Convert to fraction form
    11,458.20/15,813.78 = 6,742.92/x
  3. Step 3: Cross multiply
    11,458.20x = 15,813.78 × 6,742.92
  4. Step 4: Simplify right side
    11,458.20x = 106,631,053.44
  5. Step 5: Solve for x
    x = 106,631,053.44/11,458.20
  6. Step 6: Final answer
    x = 9,306.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.