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Finding the Fourth Proportional to 8,200.38, 12,301.11 and 2,357.04

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Solution

The fourth proportional to 8,200.38, 12,301.11 and 2,357.04 is: 3,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.38 : 12,301.11 = 2,357.04 : x
  2. Step 2: Convert to fraction form
    8,200.38/12,301.11 = 2,357.04/x
  3. Step 3: Cross multiply
    8,200.38x = 12,301.11 × 2,357.04
  4. Step 4: Simplify right side
    8,200.38x = 28,994,208.31
  5. Step 5: Solve for x
    x = 28,994,208.31/8,200.38
  6. Step 6: Final answer
    x = 3,535.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.