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Finding the Fourth Proportional to 7,737.41, 10,677.43 and 4,380.20

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Solution

The fourth proportional to 7,737.41, 10,677.43 and 4,380.20 is: 6,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.41 : 10,677.43 = 4,380.20 : x
  2. Step 2: Convert to fraction form
    7,737.41/10,677.43 = 4,380.20/x
  3. Step 3: Cross multiply
    7,737.41x = 10,677.43 × 4,380.20
  4. Step 4: Simplify right side
    7,737.41x = 46,769,278.89
  5. Step 5: Solve for x
    x = 46,769,278.89/7,737.41
  6. Step 6: Final answer
    x = 6,044.57

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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.