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Finding the Fourth Proportional to 7,900.20, 11,850.50 and 2,706.04

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Solution

The fourth proportional to 7,900.20, 11,850.50 and 2,706.04 is: 4,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.20 : 11,850.50 = 2,706.04 : x
  2. Step 2: Convert to fraction form
    7,900.20/11,850.50 = 2,706.04/x
  3. Step 3: Cross multiply
    7,900.20x = 11,850.50 × 2,706.04
  4. Step 4: Simplify right side
    7,900.20x = 32,067,927.02
  5. Step 5: Solve for x
    x = 32,067,927.02/7,900.20
  6. Step 6: Final answer
    x = 4,059.13

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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.