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Finding the Fourth Proportional to 6,858.74, 10,287.05 and 2,178.14

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Solution

The fourth proportional to 6,858.74, 10,287.05 and 2,178.14 is: 3,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.74 : 10,287.05 = 2,178.14 : x
  2. Step 2: Convert to fraction form
    6,858.74/10,287.05 = 2,178.14/x
  3. Step 3: Cross multiply
    6,858.74x = 10,287.05 × 2,178.14
  4. Step 4: Simplify right side
    6,858.74x = 22,406,635.09
  5. Step 5: Solve for x
    x = 22,406,635.09/6,858.74
  6. Step 6: Final answer
    x = 3,266.87

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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.