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Finding the Fourth Proportional to 8,033.28, 12,047.52 and 2,189.16

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Solution

The fourth proportional to 8,033.28, 12,047.52 and 2,189.16 is: 3,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.28 : 12,047.52 = 2,189.16 : x
  2. Step 2: Convert to fraction form
    8,033.28/12,047.52 = 2,189.16/x
  3. Step 3: Cross multiply
    8,033.28x = 12,047.52 × 2,189.16
  4. Step 4: Simplify right side
    8,033.28x = 26,373,948.88
  5. Step 5: Solve for x
    x = 26,373,948.88/8,033.28
  6. Step 6: Final answer
    x = 3,283.09

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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.