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Finding the Fourth Proportional to 11,016.48, 15,202.78 and 5,980.70

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Solution

The fourth proportional to 11,016.48, 15,202.78 and 5,980.70 is: 8,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.48 : 15,202.78 = 5,980.70 : x
  2. Step 2: Convert to fraction form
    11,016.48/15,202.78 = 5,980.70/x
  3. Step 3: Cross multiply
    11,016.48x = 15,202.78 × 5,980.70
  4. Step 4: Simplify right side
    11,016.48x = 90,923,266.35
  5. Step 5: Solve for x
    x = 90,923,266.35/11,016.48
  6. Step 6: Final answer
    x = 8,253.39

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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.