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Finding the Fourth Proportional to 8,105.86, 12,160.14 and 2,557.90

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Solution

The fourth proportional to 8,105.86, 12,160.14 and 2,557.90 is: 3,837.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.86 : 12,160.14 = 2,557.90 : x
  2. Step 2: Convert to fraction form
    8,105.86/12,160.14 = 2,557.90/x
  3. Step 3: Cross multiply
    8,105.86x = 12,160.14 × 2,557.90
  4. Step 4: Simplify right side
    8,105.86x = 31,104,422.11
  5. Step 5: Solve for x
    x = 31,104,422.11/8,105.86
  6. Step 6: Final answer
    x = 3,837.28

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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.