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Finding the Fourth Proportional to 8,103.45, 12,155.17 and 2,557.22

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Solution

The fourth proportional to 8,103.45, 12,155.17 and 2,557.22 is: 3,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.45 : 12,155.17 = 2,557.22 : x
  2. Step 2: Convert to fraction form
    8,103.45/12,155.17 = 2,557.22/x
  3. Step 3: Cross multiply
    8,103.45x = 12,155.17 × 2,557.22
  4. Step 4: Simplify right side
    8,103.45x = 31,083,477.41
  5. Step 5: Solve for x
    x = 31,083,477.41/8,103.45
  6. Step 6: Final answer
    x = 3,835.83

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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.