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Finding the Fourth Proportional to 7,859.36, 11,789.11 and 2,016.02

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Solution

The fourth proportional to 7,859.36, 11,789.11 and 2,016.02 is: 3,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.36 : 11,789.11 = 2,016.02 : x
  2. Step 2: Convert to fraction form
    7,859.36/11,789.11 = 2,016.02/x
  3. Step 3: Cross multiply
    7,859.36x = 11,789.11 × 2,016.02
  4. Step 4: Simplify right side
    7,859.36x = 23,767,081.54
  5. Step 5: Solve for x
    x = 23,767,081.54/7,859.36
  6. Step 6: Final answer
    x = 3,024.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.