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Finding the Fourth Proportional to 7,843.60, 11,760.54 and 3,684.52

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Solution

The fourth proportional to 7,843.60, 11,760.54 and 3,684.52 is: 5,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.60 : 11,760.54 = 3,684.52 : x
  2. Step 2: Convert to fraction form
    7,843.60/11,760.54 = 3,684.52/x
  3. Step 3: Cross multiply
    7,843.60x = 11,760.54 × 3,684.52
  4. Step 4: Simplify right side
    7,843.60x = 43,331,944.84
  5. Step 5: Solve for x
    x = 43,331,944.84/7,843.60
  6. Step 6: Final answer
    x = 5,524.50

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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.