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Finding the Fourth Proportional to 8,103.67, 12,155.50 and 2,557.57

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Solution

The fourth proportional to 8,103.67, 12,155.50 and 2,557.57 is: 3,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.67 : 12,155.50 = 2,557.57 : x
  2. Step 2: Convert to fraction form
    8,103.67/12,155.50 = 2,557.57/x
  3. Step 3: Cross multiply
    8,103.67x = 12,155.50 × 2,557.57
  4. Step 4: Simplify right side
    8,103.67x = 31,088,505.35
  5. Step 5: Solve for x
    x = 31,088,505.35/8,103.67
  6. Step 6: Final answer
    x = 3,836.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.