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Finding the Fourth Proportional to 11,147.87, 15,391.64 and 8,508.83

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Solution

The fourth proportional to 11,147.87, 15,391.64 and 8,508.83 is: 11,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.87 : 15,391.64 = 8,508.83 : x
  2. Step 2: Convert to fraction form
    11,147.87/15,391.64 = 8,508.83/x
  3. Step 3: Cross multiply
    11,147.87x = 15,391.64 × 8,508.83
  4. Step 4: Simplify right side
    11,147.87x = 130,964,848.18
  5. Step 5: Solve for x
    x = 130,964,848.18/11,147.87
  6. Step 6: Final answer
    x = 11,747.97

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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.