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Finding the Fourth Proportional to 7,888.43, 11,832.24 and 2,341.82

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Solution

The fourth proportional to 7,888.43, 11,832.24 and 2,341.82 is: 3,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.43 : 11,832.24 = 2,341.82 : x
  2. Step 2: Convert to fraction form
    7,888.43/11,832.24 = 2,341.82/x
  3. Step 3: Cross multiply
    7,888.43x = 11,832.24 × 2,341.82
  4. Step 4: Simplify right side
    7,888.43x = 27,708,976.28
  5. Step 5: Solve for x
    x = 27,708,976.28/7,888.43
  6. Step 6: Final answer
    x = 3,512.61

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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.