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Finding the Fourth Proportional to 6,838.80, 10,247.40 and 5,737.20

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Solution

The fourth proportional to 6,838.80, 10,247.40 and 5,737.20 is: 8,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.80 : 10,247.40 = 5,737.20 : x
  2. Step 2: Convert to fraction form
    6,838.80/10,247.40 = 5,737.20/x
  3. Step 3: Cross multiply
    6,838.80x = 10,247.40 × 5,737.20
  4. Step 4: Simplify right side
    6,838.80x = 58,791,383.28
  5. Step 5: Solve for x
    x = 58,791,383.28/6,838.80
  6. Step 6: Final answer
    x = 8,596.74

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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.