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Finding the Fourth Proportional to 8,104.66, 12,152.43 and 2,556.97

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Solution

The fourth proportional to 8,104.66, 12,152.43 and 2,556.97 is: 3,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.66 : 12,152.43 = 2,556.97 : x
  2. Step 2: Convert to fraction form
    8,104.66/12,152.43 = 2,556.97/x
  3. Step 3: Cross multiply
    8,104.66x = 12,152.43 × 2,556.97
  4. Step 4: Simplify right side
    8,104.66x = 31,073,368.56
  5. Step 5: Solve for x
    x = 31,073,368.56/8,104.66
  6. Step 6: Final answer
    x = 3,834.01

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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.