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Finding the Fourth Proportional to 6,820, 10,222.96 and 2,926.88

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Solution

The fourth proportional to 6,820, 10,222.96 and 2,926.88 is: 4,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820 : 10,222.96 = 2,926.88 : x
  2. Step 2: Convert to fraction form
    6,820/10,222.96 = 2,926.88/x
  3. Step 3: Cross multiply
    6,820x = 10,222.96 × 2,926.88
  4. Step 4: Simplify right side
    6,820x = 29,921,377.16
  5. Step 5: Solve for x
    x = 29,921,377.16/6,820
  6. Step 6: Final answer
    x = 4,387.30

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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.