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Finding the Fourth Proportional to 7,139.80, 10,710.84 and 2,209.44

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Solution

The fourth proportional to 7,139.80, 10,710.84 and 2,209.44 is: 3,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.80 : 10,710.84 = 2,209.44 : x
  2. Step 2: Convert to fraction form
    7,139.80/10,710.84 = 2,209.44/x
  3. Step 3: Cross multiply
    7,139.80x = 10,710.84 × 2,209.44
  4. Step 4: Simplify right side
    7,139.80x = 23,664,958.33
  5. Step 5: Solve for x
    x = 23,664,958.33/7,139.80
  6. Step 6: Final answer
    x = 3,314.51

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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.