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Finding the Fourth Proportional to 6,896.40, 10,347.30 and 2,514.30

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Solution

The fourth proportional to 6,896.40, 10,347.30 and 2,514.30 is: 3,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.40 : 10,347.30 = 2,514.30 : x
  2. Step 2: Convert to fraction form
    6,896.40/10,347.30 = 2,514.30/x
  3. Step 3: Cross multiply
    6,896.40x = 10,347.30 × 2,514.30
  4. Step 4: Simplify right side
    6,896.40x = 26,016,216.39
  5. Step 5: Solve for x
    x = 26,016,216.39/6,896.40
  6. Step 6: Final answer
    x = 3,772.43

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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.