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Finding the Fourth Proportional to 6,847.78, 10,271.60 and 2,167.79

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Solution

The fourth proportional to 6,847.78, 10,271.60 and 2,167.79 is: 3,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.78 : 10,271.60 = 2,167.79 : x
  2. Step 2: Convert to fraction form
    6,847.78/10,271.60 = 2,167.79/x
  3. Step 3: Cross multiply
    6,847.78x = 10,271.60 × 2,167.79
  4. Step 4: Simplify right side
    6,847.78x = 22,266,671.76
  5. Step 5: Solve for x
    x = 22,266,671.76/6,847.78
  6. Step 6: Final answer
    x = 3,251.66

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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.