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Finding the Fourth Proportional to 8,227.10, 12,340.65 and 3,032.30

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Solution

The fourth proportional to 8,227.10, 12,340.65 and 3,032.30 is: 4,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.10 : 12,340.65 = 3,032.30 : x
  2. Step 2: Convert to fraction form
    8,227.10/12,340.65 = 3,032.30/x
  3. Step 3: Cross multiply
    8,227.10x = 12,340.65 × 3,032.30
  4. Step 4: Simplify right side
    8,227.10x = 37,420,553.00
  5. Step 5: Solve for x
    x = 37,420,553.00/8,227.10
  6. Step 6: Final answer
    x = 4,548.45

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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.