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Finding the Fourth Proportional to 8,062.70, 12,093.50 and 2,139.46

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Solution

The fourth proportional to 8,062.70, 12,093.50 and 2,139.46 is: 3,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.70 : 12,093.50 = 2,139.46 : x
  2. Step 2: Convert to fraction form
    8,062.70/12,093.50 = 2,139.46/x
  3. Step 3: Cross multiply
    8,062.70x = 12,093.50 × 2,139.46
  4. Step 4: Simplify right side
    8,062.70x = 25,873,559.51
  5. Step 5: Solve for x
    x = 25,873,559.51/8,062.70
  6. Step 6: Final answer
    x = 3,209.04

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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.