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Finding the Fourth Proportional to 12,091.08, 16,684.08 and 6,785.84

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Solution

The fourth proportional to 12,091.08, 16,684.08 and 6,785.84 is: 9,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.08 : 16,684.08 = 6,785.84 : x
  2. Step 2: Convert to fraction form
    12,091.08/16,684.08 = 6,785.84/x
  3. Step 3: Cross multiply
    12,091.08x = 16,684.08 × 6,785.84
  4. Step 4: Simplify right side
    12,091.08x = 113,215,497.43
  5. Step 5: Solve for x
    x = 113,215,497.43/12,091.08
  6. Step 6: Final answer
    x = 9,363.56

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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.