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Finding the Fourth Proportional to 7,003.60, 9,664.98 and 3,859.86

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Solution

The fourth proportional to 7,003.60, 9,664.98 and 3,859.86 is: 5,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.60 : 9,664.98 = 3,859.86 : x
  2. Step 2: Convert to fraction form
    7,003.60/9,664.98 = 3,859.86/x
  3. Step 3: Cross multiply
    7,003.60x = 9,664.98 × 3,859.86
  4. Step 4: Simplify right side
    7,003.60x = 37,305,469.70
  5. Step 5: Solve for x
    x = 37,305,469.70/7,003.60
  6. Step 6: Final answer
    x = 5,326.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.