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Finding the Fourth Proportional to 8,016.09, 11,062.23 and 4,658.97

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Solution

The fourth proportional to 8,016.09, 11,062.23 and 4,658.97 is: 6,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.09 : 11,062.23 = 4,658.97 : x
  2. Step 2: Convert to fraction form
    8,016.09/11,062.23 = 4,658.97/x
  3. Step 3: Cross multiply
    8,016.09x = 11,062.23 × 4,658.97
  4. Step 4: Simplify right side
    8,016.09x = 51,538,597.70
  5. Step 5: Solve for x
    x = 51,538,597.70/8,016.09
  6. Step 6: Final answer
    x = 6,429.39

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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.