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Finding the Fourth Proportional to 8,578.29, 12,867.30 and 2,734.86

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Solution

The fourth proportional to 8,578.29, 12,867.30 and 2,734.86 is: 4,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.29 : 12,867.30 = 2,734.86 : x
  2. Step 2: Convert to fraction form
    8,578.29/12,867.30 = 2,734.86/x
  3. Step 3: Cross multiply
    8,578.29x = 12,867.30 × 2,734.86
  4. Step 4: Simplify right side
    8,578.29x = 35,190,264.08
  5. Step 5: Solve for x
    x = 35,190,264.08/8,578.29
  6. Step 6: Final answer
    x = 4,102.25

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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.