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Finding the Fourth Proportional to 7,737.31, 10,677.50 and 4,200.51

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Solution

The fourth proportional to 7,737.31, 10,677.50 and 4,200.51 is: 5,796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.31 : 10,677.50 = 4,200.51 : x
  2. Step 2: Convert to fraction form
    7,737.31/10,677.50 = 4,200.51/x
  3. Step 3: Cross multiply
    7,737.31x = 10,677.50 × 4,200.51
  4. Step 4: Simplify right side
    7,737.31x = 44,850,945.53
  5. Step 5: Solve for x
    x = 44,850,945.53/7,737.31
  6. Step 6: Final answer
    x = 5,796.71

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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.