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Finding the Fourth Proportional to 6,877.32, 10,302.21 and 3,174.54

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Solution

The fourth proportional to 6,877.32, 10,302.21 and 3,174.54 is: 4,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.32 : 10,302.21 = 3,174.54 : x
  2. Step 2: Convert to fraction form
    6,877.32/10,302.21 = 3,174.54/x
  3. Step 3: Cross multiply
    6,877.32x = 10,302.21 × 3,174.54
  4. Step 4: Simplify right side
    6,877.32x = 32,704,777.73
  5. Step 5: Solve for x
    x = 32,704,777.73/6,877.32
  6. Step 6: Final answer
    x = 4,755.45

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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.