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Finding the Fourth Proportional to 11,631.54, 16,057.48 and 7,874.58

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Solution

The fourth proportional to 11,631.54, 16,057.48 and 7,874.58 is: 10,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.54 : 16,057.48 = 7,874.58 : x
  2. Step 2: Convert to fraction form
    11,631.54/16,057.48 = 7,874.58/x
  3. Step 3: Cross multiply
    11,631.54x = 16,057.48 × 7,874.58
  4. Step 4: Simplify right side
    11,631.54x = 126,445,910.86
  5. Step 5: Solve for x
    x = 126,445,910.86/11,631.54
  6. Step 6: Final answer
    x = 10,870.95

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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.