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Finding the Fourth Proportional to 6,857.66, 10,287.79 and 2,176.42

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Solution

The fourth proportional to 6,857.66, 10,287.79 and 2,176.42 is: 3,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.66 : 10,287.79 = 2,176.42 : x
  2. Step 2: Convert to fraction form
    6,857.66/10,287.79 = 2,176.42/x
  3. Step 3: Cross multiply
    6,857.66x = 10,287.79 × 2,176.42
  4. Step 4: Simplify right side
    6,857.66x = 22,390,551.91
  5. Step 5: Solve for x
    x = 22,390,551.91/6,857.66
  6. Step 6: Final answer
    x = 3,265.04

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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.