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Finding the Fourth Proportional to 7,640.94, 11,463.20 and 2,375.68

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Solution

The fourth proportional to 7,640.94, 11,463.20 and 2,375.68 is: 3,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.94 : 11,463.20 = 2,375.68 : x
  2. Step 2: Convert to fraction form
    7,640.94/11,463.20 = 2,375.68/x
  3. Step 3: Cross multiply
    7,640.94x = 11,463.20 × 2,375.68
  4. Step 4: Simplify right side
    7,640.94x = 27,232,894.98
  5. Step 5: Solve for x
    x = 27,232,894.98/7,640.94
  6. Step 6: Final answer
    x = 3,564.08

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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.