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Finding the Fourth Proportional to 8,032.81, 12,047.86 and 2,189.43

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Solution

The fourth proportional to 8,032.81, 12,047.86 and 2,189.43 is: 3,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.81 : 12,047.86 = 2,189.43 : x
  2. Step 2: Convert to fraction form
    8,032.81/12,047.86 = 2,189.43/x
  3. Step 3: Cross multiply
    8,032.81x = 12,047.86 × 2,189.43
  4. Step 4: Simplify right side
    8,032.81x = 26,377,946.12
  5. Step 5: Solve for x
    x = 26,377,946.12/8,032.81
  6. Step 6: Final answer
    x = 3,283.78

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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.