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Finding the Fourth Proportional to 8,103.46, 12,156.40 and 2,556.22

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Solution

The fourth proportional to 8,103.46, 12,156.40 and 2,556.22 is: 3,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.46 : 12,156.40 = 2,556.22 : x
  2. Step 2: Convert to fraction form
    8,103.46/12,156.40 = 2,556.22/x
  3. Step 3: Cross multiply
    8,103.46x = 12,156.40 × 2,556.22
  4. Step 4: Simplify right side
    8,103.46x = 31,074,432.81
  5. Step 5: Solve for x
    x = 31,074,432.81/8,103.46
  6. Step 6: Final answer
    x = 3,834.71

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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.