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Finding the Fourth Proportional to 6,896.36, 10,347.30 and 3,149.91

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Solution

The fourth proportional to 6,896.36, 10,347.30 and 3,149.91 is: 4,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.36 : 10,347.30 = 3,149.91 : x
  2. Step 2: Convert to fraction form
    6,896.36/10,347.30 = 3,149.91/x
  3. Step 3: Cross multiply
    6,896.36x = 10,347.30 × 3,149.91
  4. Step 4: Simplify right side
    6,896.36x = 32,593,063.74
  5. Step 5: Solve for x
    x = 32,593,063.74/6,896.36
  6. Step 6: Final answer
    x = 4,726.13

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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.