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Finding the Fourth Proportional to 8,122.56, 12,179.48 and 2,574.40

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Solution

The fourth proportional to 8,122.56, 12,179.48 and 2,574.40 is: 3,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.56 : 12,179.48 = 2,574.40 : x
  2. Step 2: Convert to fraction form
    8,122.56/12,179.48 = 2,574.40/x
  3. Step 3: Cross multiply
    8,122.56x = 12,179.48 × 2,574.40
  4. Step 4: Simplify right side
    8,122.56x = 31,354,853.31
  5. Step 5: Solve for x
    x = 31,354,853.31/8,122.56
  6. Step 6: Final answer
    x = 3,860.22

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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.