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Finding the Fourth Proportional to 11,809.16, 16,286.94 and 8,618.87

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Solution

The fourth proportional to 11,809.16, 16,286.94 and 8,618.87 is: 11,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.16 : 16,286.94 = 8,618.87 : x
  2. Step 2: Convert to fraction form
    11,809.16/16,286.94 = 8,618.87/x
  3. Step 3: Cross multiply
    11,809.16x = 16,286.94 × 8,618.87
  4. Step 4: Simplify right side
    11,809.16x = 140,374,937.12
  5. Step 5: Solve for x
    x = 140,374,937.12/11,809.16
  6. Step 6: Final answer
    x = 11,886.96

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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.