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Finding the Fourth Proportional to 8,102.48, 12,154.13 and 2,556.24

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Solution

The fourth proportional to 8,102.48, 12,154.13 and 2,556.24 is: 3,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.48 : 12,154.13 = 2,556.24 : x
  2. Step 2: Convert to fraction form
    8,102.48/12,154.13 = 2,556.24/x
  3. Step 3: Cross multiply
    8,102.48x = 12,154.13 × 2,556.24
  4. Step 4: Simplify right side
    8,102.48x = 31,068,860.49
  5. Step 5: Solve for x
    x = 31,068,860.49/8,102.48
  6. Step 6: Final answer
    x = 3,834.49

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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.