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Finding the Fourth Proportional to 6,926.32, 10,388.84 and 2,822

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Solution

The fourth proportional to 6,926.32, 10,388.84 and 2,822 is: 4,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.32 : 10,388.84 = 2,822 : x
  2. Step 2: Convert to fraction form
    6,926.32/10,388.84 = 2,822/x
  3. Step 3: Cross multiply
    6,926.32x = 10,388.84 × 2,822
  4. Step 4: Simplify right side
    6,926.32x = 29,317,306.48
  5. Step 5: Solve for x
    x = 29,317,306.48/6,926.32
  6. Step 6: Final answer
    x = 4,232.74

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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.