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Finding the Fourth Proportional to 11,149.42, 15,383.14 and 6,898.44

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Solution

The fourth proportional to 11,149.42, 15,383.14 and 6,898.44 is: 9,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.42 : 15,383.14 = 6,898.44 : x
  2. Step 2: Convert to fraction form
    11,149.42/15,383.14 = 6,898.44/x
  3. Step 3: Cross multiply
    11,149.42x = 15,383.14 × 6,898.44
  4. Step 4: Simplify right side
    11,149.42x = 106,119,668.30
  5. Step 5: Solve for x
    x = 106,119,668.30/11,149.42
  6. Step 6: Final answer
    x = 9,517.95

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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.