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Finding the Fourth Proportional to 8,095.86, 12,144.29 and 2,549.39

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Solution

The fourth proportional to 8,095.86, 12,144.29 and 2,549.39 is: 3,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.86 : 12,144.29 = 2,549.39 : x
  2. Step 2: Convert to fraction form
    8,095.86/12,144.29 = 2,549.39/x
  3. Step 3: Cross multiply
    8,095.86x = 12,144.29 × 2,549.39
  4. Step 4: Simplify right side
    8,095.86x = 30,960,458.01
  5. Step 5: Solve for x
    x = 30,960,458.01/8,095.86
  6. Step 6: Final answer
    x = 3,824.23

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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.