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Finding the Fourth Proportional to 8,471, 12,708.24 and 2,627.36

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Solution

The fourth proportional to 8,471, 12,708.24 and 2,627.36 is: 3,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471 : 12,708.24 = 2,627.36 : x
  2. Step 2: Convert to fraction form
    8,471/12,708.24 = 2,627.36/x
  3. Step 3: Cross multiply
    8,471x = 12,708.24 × 2,627.36
  4. Step 4: Simplify right side
    8,471x = 33,389,121.45
  5. Step 5: Solve for x
    x = 33,389,121.45/8,471
  6. Step 6: Final answer
    x = 3,941.58

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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.