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Finding the Fourth Proportional to 6,877.57, 10,311.12 and 3,760.24

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Solution

The fourth proportional to 6,877.57, 10,311.12 and 3,760.24 is: 5,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.57 : 10,311.12 = 3,760.24 : x
  2. Step 2: Convert to fraction form
    6,877.57/10,311.12 = 3,760.24/x
  3. Step 3: Cross multiply
    6,877.57x = 10,311.12 × 3,760.24
  4. Step 4: Simplify right side
    6,877.57x = 38,772,285.87
  5. Step 5: Solve for x
    x = 38,772,285.87/6,877.57
  6. Step 6: Final answer
    x = 5,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.