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Finding the Fourth Proportional to 7,792.38, 11,684.79 and 2,596.50

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Solution

The fourth proportional to 7,792.38, 11,684.79 and 2,596.50 is: 3,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.38 : 11,684.79 = 2,596.50 : x
  2. Step 2: Convert to fraction form
    7,792.38/11,684.79 = 2,596.50/x
  3. Step 3: Cross multiply
    7,792.38x = 11,684.79 × 2,596.50
  4. Step 4: Simplify right side
    7,792.38x = 30,339,557.24
  5. Step 5: Solve for x
    x = 30,339,557.24/7,792.38
  6. Step 6: Final answer
    x = 3,893.49

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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.