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Finding the Fourth Proportional to 7,737.94, 11,596.40 and 3,568.78

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Solution

The fourth proportional to 7,737.94, 11,596.40 and 3,568.78 is: 5,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.94 : 11,596.40 = 3,568.78 : x
  2. Step 2: Convert to fraction form
    7,737.94/11,596.40 = 3,568.78/x
  3. Step 3: Cross multiply
    7,737.94x = 11,596.40 × 3,568.78
  4. Step 4: Simplify right side
    7,737.94x = 41,385,000.39
  5. Step 5: Solve for x
    x = 41,385,000.39/7,737.94
  6. Step 6: Final answer
    x = 5,348.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.