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Finding the Fourth Proportional to 7,737.92, 10,678.44 and 4,201.28

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Solution

The fourth proportional to 7,737.92, 10,678.44 and 4,201.28 is: 5,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.92 : 10,678.44 = 4,201.28 : x
  2. Step 2: Convert to fraction form
    7,737.92/10,678.44 = 4,201.28/x
  3. Step 3: Cross multiply
    7,737.92x = 10,678.44 × 4,201.28
  4. Step 4: Simplify right side
    7,737.92x = 44,863,116.40
  5. Step 5: Solve for x
    x = 44,863,116.40/7,737.92
  6. Step 6: Final answer
    x = 5,797.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.