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Finding the Fourth Proportional to 8,206.08, 11,338.88 and 6,078.56

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Solution

The fourth proportional to 8,206.08, 11,338.88 and 6,078.56 is: 8,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.08 : 11,338.88 = 6,078.56 : x
  2. Step 2: Convert to fraction form
    8,206.08/11,338.88 = 6,078.56/x
  3. Step 3: Cross multiply
    8,206.08x = 11,338.88 × 6,078.56
  4. Step 4: Simplify right side
    8,206.08x = 68,924,062.41
  5. Step 5: Solve for x
    x = 68,924,062.41/8,206.08
  6. Step 6: Final answer
    x = 8,399.15

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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.