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Finding the Fourth Proportional to 8,691.84, 11,991.92 and 4,914.64

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Solution

The fourth proportional to 8,691.84, 11,991.92 and 4,914.64 is: 6,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.84 : 11,991.92 = 4,914.64 : x
  2. Step 2: Convert to fraction form
    8,691.84/11,991.92 = 4,914.64/x
  3. Step 3: Cross multiply
    8,691.84x = 11,991.92 × 4,914.64
  4. Step 4: Simplify right side
    8,691.84x = 58,935,969.71
  5. Step 5: Solve for x
    x = 58,935,969.71/8,691.84
  6. Step 6: Final answer
    x = 6,780.61

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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.