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Finding the Fourth Proportional to 6,809.34, 10,216.06 and 2,426.23

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Solution

The fourth proportional to 6,809.34, 10,216.06 and 2,426.23 is: 3,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.34 : 10,216.06 = 2,426.23 : x
  2. Step 2: Convert to fraction form
    6,809.34/10,216.06 = 2,426.23/x
  3. Step 3: Cross multiply
    6,809.34x = 10,216.06 × 2,426.23
  4. Step 4: Simplify right side
    6,809.34x = 24,786,479.65
  5. Step 5: Solve for x
    x = 24,786,479.65/6,809.34
  6. Step 6: Final answer
    x = 3,640.07

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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.