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Finding the Fourth Proportional to 6,776.14, 10,164.21 and 2,877.82

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Solution

The fourth proportional to 6,776.14, 10,164.21 and 2,877.82 is: 4,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.14 : 10,164.21 = 2,877.82 : x
  2. Step 2: Convert to fraction form
    6,776.14/10,164.21 = 2,877.82/x
  3. Step 3: Cross multiply
    6,776.14x = 10,164.21 × 2,877.82
  4. Step 4: Simplify right side
    6,776.14x = 29,250,766.82
  5. Step 5: Solve for x
    x = 29,250,766.82/6,776.14
  6. Step 6: Final answer
    x = 4,316.73

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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.