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Finding the Fourth Proportional to 11,042.40, 15,238.38 and 6,326.64

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Solution

The fourth proportional to 11,042.40, 15,238.38 and 6,326.64 is: 8,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.40 : 15,238.38 = 6,326.64 : x
  2. Step 2: Convert to fraction form
    11,042.40/15,238.38 = 6,326.64/x
  3. Step 3: Cross multiply
    11,042.40x = 15,238.38 × 6,326.64
  4. Step 4: Simplify right side
    11,042.40x = 96,407,744.44
  5. Step 5: Solve for x
    x = 96,407,744.44/11,042.40
  6. Step 6: Final answer
    x = 8,730.69

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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.