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Finding the Fourth Proportional to 7,737.75, 10,678.28 and 4,200.98

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Solution

The fourth proportional to 7,737.75, 10,678.28 and 4,200.98 is: 5,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.75 : 10,678.28 = 4,200.98 : x
  2. Step 2: Convert to fraction form
    7,737.75/10,678.28 = 4,200.98/x
  3. Step 3: Cross multiply
    7,737.75x = 10,678.28 × 4,200.98
  4. Step 4: Simplify right side
    7,737.75x = 44,859,166.32
  5. Step 5: Solve for x
    x = 44,859,166.32/7,737.75
  6. Step 6: Final answer
    x = 5,797.44

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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.