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Finding the Fourth Proportional to 11,215.98, 15,478.38 and 6,180.39

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Solution

The fourth proportional to 11,215.98, 15,478.38 and 6,180.39 is: 8,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.98 : 15,478.38 = 6,180.39 : x
  2. Step 2: Convert to fraction form
    11,215.98/15,478.38 = 6,180.39/x
  3. Step 3: Cross multiply
    11,215.98x = 15,478.38 × 6,180.39
  4. Step 4: Simplify right side
    11,215.98x = 95,662,424.97
  5. Step 5: Solve for x
    x = 95,662,424.97/11,215.98
  6. Step 6: Final answer
    x = 8,529.12

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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.