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Finding the Fourth Proportional to 8,101, 12,151.86 and 2,556.28

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Solution

The fourth proportional to 8,101, 12,151.86 and 2,556.28 is: 3,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101 : 12,151.86 = 2,556.28 : x
  2. Step 2: Convert to fraction form
    8,101/12,151.86 = 2,556.28/x
  3. Step 3: Cross multiply
    8,101x = 12,151.86 × 2,556.28
  4. Step 4: Simplify right side
    8,101x = 31,063,556.68
  5. Step 5: Solve for x
    x = 31,063,556.68/8,101
  6. Step 6: Final answer
    x = 3,834.53

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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.