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Finding the Fourth Proportional to 8,032.08, 12,046.90 and 2,189.14

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Solution

The fourth proportional to 8,032.08, 12,046.90 and 2,189.14 is: 3,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.08 : 12,046.90 = 2,189.14 : x
  2. Step 2: Convert to fraction form
    8,032.08/12,046.90 = 2,189.14/x
  3. Step 3: Cross multiply
    8,032.08x = 12,046.90 × 2,189.14
  4. Step 4: Simplify right side
    8,032.08x = 26,372,350.67
  5. Step 5: Solve for x
    x = 26,372,350.67/8,032.08
  6. Step 6: Final answer
    x = 3,283.38

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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.