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Finding the Fourth Proportional to 11,765.64, 16,251.06 and 8,794.74

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Solution

The fourth proportional to 11,765.64, 16,251.06 and 8,794.74 is: 12,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.64 : 16,251.06 = 8,794.74 : x
  2. Step 2: Convert to fraction form
    11,765.64/16,251.06 = 8,794.74/x
  3. Step 3: Cross multiply
    11,765.64x = 16,251.06 × 8,794.74
  4. Step 4: Simplify right side
    11,765.64x = 142,923,854.24
  5. Step 5: Solve for x
    x = 142,923,854.24/11,765.64
  6. Step 6: Final answer
    x = 12,147.56

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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.