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Finding the Fourth Proportional to 6,886.82, 10,327.08 and 2,205.92

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Solution

The fourth proportional to 6,886.82, 10,327.08 and 2,205.92 is: 3,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.82 : 10,327.08 = 2,205.92 : x
  2. Step 2: Convert to fraction form
    6,886.82/10,327.08 = 2,205.92/x
  3. Step 3: Cross multiply
    6,886.82x = 10,327.08 × 2,205.92
  4. Step 4: Simplify right side
    6,886.82x = 22,780,712.31
  5. Step 5: Solve for x
    x = 22,780,712.31/6,886.82
  6. Step 6: Final answer
    x = 3,307.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.