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Finding the Fourth Proportional to 6,772.50, 10,160.78 and 2,877.21

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Solution

The fourth proportional to 6,772.50, 10,160.78 and 2,877.21 is: 4,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.50 : 10,160.78 = 2,877.21 : x
  2. Step 2: Convert to fraction form
    6,772.50/10,160.78 = 2,877.21/x
  3. Step 3: Cross multiply
    6,772.50x = 10,160.78 × 2,877.21
  4. Step 4: Simplify right side
    6,772.50x = 29,234,683.44
  5. Step 5: Solve for x
    x = 29,234,683.44/6,772.50
  6. Step 6: Final answer
    x = 4,316.68

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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.