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Finding the Fourth Proportional to 6,687.30, 10,037.12 and 3,402.75

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Solution

The fourth proportional to 6,687.30, 10,037.12 and 3,402.75 is: 5,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.30 : 10,037.12 = 3,402.75 : x
  2. Step 2: Convert to fraction form
    6,687.30/10,037.12 = 3,402.75/x
  3. Step 3: Cross multiply
    6,687.30x = 10,037.12 × 3,402.75
  4. Step 4: Simplify right side
    6,687.30x = 34,153,793.07
  5. Step 5: Solve for x
    x = 34,153,793.07/6,687.30
  6. Step 6: Final answer
    x = 5,107.26

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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.