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Finding the Fourth Proportional to 7,737.82, 10,677.86 and 4,200.96

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Solution

The fourth proportional to 7,737.82, 10,677.86 and 4,200.96 is: 5,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.82 : 10,677.86 = 4,200.96 : x
  2. Step 2: Convert to fraction form
    7,737.82/10,677.86 = 4,200.96/x
  3. Step 3: Cross multiply
    7,737.82x = 10,677.86 × 4,200.96
  4. Step 4: Simplify right side
    7,737.82x = 44,857,262.75
  5. Step 5: Solve for x
    x = 44,857,262.75/7,737.82
  6. Step 6: Final answer
    x = 5,797.14

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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.