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Finding the Fourth Proportional to 11,340.77, 15,646.65 and 6,863.09

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Solution

The fourth proportional to 11,340.77, 15,646.65 and 6,863.09 is: 9,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.77 : 15,646.65 = 6,863.09 : x
  2. Step 2: Convert to fraction form
    11,340.77/15,646.65 = 6,863.09/x
  3. Step 3: Cross multiply
    11,340.77x = 15,646.65 × 6,863.09
  4. Step 4: Simplify right side
    11,340.77x = 107,384,367.15
  5. Step 5: Solve for x
    x = 107,384,367.15/11,340.77
  6. Step 6: Final answer
    x = 9,468.88

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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.