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Finding the Fourth Proportional to 11,218, 15,481.16 and 6,250.32

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Solution

The fourth proportional to 11,218, 15,481.16 and 6,250.32 is: 8,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218 : 15,481.16 = 6,250.32 : x
  2. Step 2: Convert to fraction form
    11,218/15,481.16 = 6,250.32/x
  3. Step 3: Cross multiply
    11,218x = 15,481.16 × 6,250.32
  4. Step 4: Simplify right side
    11,218x = 96,762,203.97
  5. Step 5: Solve for x
    x = 96,762,203.97/11,218
  6. Step 6: Final answer
    x = 8,625.62

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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.