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Finding the Fourth Proportional to 8,032.68, 12,049.08 and 2,189.88

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Solution

The fourth proportional to 8,032.68, 12,049.08 and 2,189.88 is: 3,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.68 : 12,049.08 = 2,189.88 : x
  2. Step 2: Convert to fraction form
    8,032.68/12,049.08 = 2,189.88/x
  3. Step 3: Cross multiply
    8,032.68x = 12,049.08 × 2,189.88
  4. Step 4: Simplify right side
    8,032.68x = 26,386,039.31
  5. Step 5: Solve for x
    x = 26,386,039.31/8,032.68
  6. Step 6: Final answer
    x = 3,284.84

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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.