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Finding the Fourth Proportional to 6,691.30, 10,043.12 and 3,406.75

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Solution

The fourth proportional to 6,691.30, 10,043.12 and 3,406.75 is: 5,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.30 : 10,043.12 = 3,406.75 : x
  2. Step 2: Convert to fraction form
    6,691.30/10,043.12 = 3,406.75/x
  3. Step 3: Cross multiply
    6,691.30x = 10,043.12 × 3,406.75
  4. Step 4: Simplify right side
    6,691.30x = 34,214,399.06
  5. Step 5: Solve for x
    x = 34,214,399.06/6,691.30
  6. Step 6: Final answer
    x = 5,113.27

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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.