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Finding the Fourth Proportional to 7,640.52, 11,460.78 and 2,093.91

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Solution

The fourth proportional to 7,640.52, 11,460.78 and 2,093.91 is: 3,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.52 : 11,460.78 = 2,093.91 : x
  2. Step 2: Convert to fraction form
    7,640.52/11,460.78 = 2,093.91/x
  3. Step 3: Cross multiply
    7,640.52x = 11,460.78 × 2,093.91
  4. Step 4: Simplify right side
    7,640.52x = 23,997,841.85
  5. Step 5: Solve for x
    x = 23,997,841.85/7,640.52
  6. Step 6: Final answer
    x = 3,140.87

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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.