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Finding the Fourth Proportional to 8,578.40, 12,867.12 and 2,422.24

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Solution

The fourth proportional to 8,578.40, 12,867.12 and 2,422.24 is: 3,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.40 : 12,867.12 = 2,422.24 : x
  2. Step 2: Convert to fraction form
    8,578.40/12,867.12 = 2,422.24/x
  3. Step 3: Cross multiply
    8,578.40x = 12,867.12 × 2,422.24
  4. Step 4: Simplify right side
    8,578.40x = 31,167,252.75
  5. Step 5: Solve for x
    x = 31,167,252.75/8,578.40
  6. Step 6: Final answer
    x = 3,633.22

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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.