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Finding the Fourth Proportional to 6,886.35, 10,313.10 and 3,761.69

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Solution

The fourth proportional to 6,886.35, 10,313.10 and 3,761.69 is: 5,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.35 : 10,313.10 = 3,761.69 : x
  2. Step 2: Convert to fraction form
    6,886.35/10,313.10 = 3,761.69/x
  3. Step 3: Cross multiply
    6,886.35x = 10,313.10 × 3,761.69
  4. Step 4: Simplify right side
    6,886.35x = 38,794,685.14
  5. Step 5: Solve for x
    x = 38,794,685.14/6,886.35
  6. Step 6: Final answer
    x = 5,633.56

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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.