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Finding the Fourth Proportional to 6,881.30, 10,321.94 and 1,687.13

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Solution

The fourth proportional to 6,881.30, 10,321.94 and 1,687.13 is: 2,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.30 : 10,321.94 = 1,687.13 : x
  2. Step 2: Convert to fraction form
    6,881.30/10,321.94 = 1,687.13/x
  3. Step 3: Cross multiply
    6,881.30x = 10,321.94 × 1,687.13
  4. Step 4: Simplify right side
    6,881.30x = 17,414,454.63
  5. Step 5: Solve for x
    x = 17,414,454.63/6,881.30
  6. Step 6: Final answer
    x = 2,530.69

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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.