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Finding the Fourth Proportional to 7,762.58, 11,640.30 and 2,496.62

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Solution

The fourth proportional to 7,762.58, 11,640.30 and 2,496.62 is: 3,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.58 : 11,640.30 = 2,496.62 : x
  2. Step 2: Convert to fraction form
    7,762.58/11,640.30 = 2,496.62/x
  3. Step 3: Cross multiply
    7,762.58x = 11,640.30 × 2,496.62
  4. Step 4: Simplify right side
    7,762.58x = 29,061,434.89
  5. Step 5: Solve for x
    x = 29,061,434.89/7,762.58
  6. Step 6: Final answer
    x = 3,743.78

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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.