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Finding the Fourth Proportional to 8,032.96, 12,049.08 and 2,189.57

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Solution

The fourth proportional to 8,032.96, 12,049.08 and 2,189.57 is: 3,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.96 : 12,049.08 = 2,189.57 : x
  2. Step 2: Convert to fraction form
    8,032.96/12,049.08 = 2,189.57/x
  3. Step 3: Cross multiply
    8,032.96x = 12,049.08 × 2,189.57
  4. Step 4: Simplify right side
    8,032.96x = 26,382,270.55
  5. Step 5: Solve for x
    x = 26,382,270.55/8,032.96
  6. Step 6: Final answer
    x = 3,284.25

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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.