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Finding the Fourth Proportional to 7,737.06, 10,677.24 and 4,200.33

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Solution

The fourth proportional to 7,737.06, 10,677.24 and 4,200.33 is: 5,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.06 : 10,677.24 = 4,200.33 : x
  2. Step 2: Convert to fraction form
    7,737.06/10,677.24 = 4,200.33/x
  3. Step 3: Cross multiply
    7,737.06x = 10,677.24 × 4,200.33
  4. Step 4: Simplify right side
    7,737.06x = 44,847,931.49
  5. Step 5: Solve for x
    x = 44,847,931.49/7,737.06
  6. Step 6: Final answer
    x = 5,796.51

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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.