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Finding the Fourth Proportional to 7,734.42, 11,592.11 and 3,568.79

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Solution

The fourth proportional to 7,734.42, 11,592.11 and 3,568.79 is: 5,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.42 : 11,592.11 = 3,568.79 : x
  2. Step 2: Convert to fraction form
    7,734.42/11,592.11 = 3,568.79/x
  3. Step 3: Cross multiply
    7,734.42x = 11,592.11 × 3,568.79
  4. Step 4: Simplify right side
    7,734.42x = 41,369,844.15
  5. Step 5: Solve for x
    x = 41,369,844.15/7,734.42
  6. Step 6: Final answer
    x = 5,348.80

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Why These Related Problems?

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