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Finding the Fourth Proportional to 6,805.20, 10,207.68 and 1,874.88

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Solution

The fourth proportional to 6,805.20, 10,207.68 and 1,874.88 is: 2,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.20 : 10,207.68 = 1,874.88 : x
  2. Step 2: Convert to fraction form
    6,805.20/10,207.68 = 1,874.88/x
  3. Step 3: Cross multiply
    6,805.20x = 10,207.68 × 1,874.88
  4. Step 4: Simplify right side
    6,805.20x = 19,138,175.08
  5. Step 5: Solve for x
    x = 19,138,175.08/6,805.20
  6. Step 6: Final answer
    x = 2,812.29

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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.