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Finding the Fourth Proportional to 6,908.68, 10,370.31 and 3,788.56

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Solution

The fourth proportional to 6,908.68, 10,370.31 and 3,788.56 is: 5,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.68 : 10,370.31 = 3,788.56 : x
  2. Step 2: Convert to fraction form
    6,908.68/10,370.31 = 3,788.56/x
  3. Step 3: Cross multiply
    6,908.68x = 10,370.31 × 3,788.56
  4. Step 4: Simplify right side
    6,908.68x = 39,288,541.65
  5. Step 5: Solve for x
    x = 39,288,541.65/6,908.68
  6. Step 6: Final answer
    x = 5,686.84

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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.