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Finding the Fourth Proportional to 8,089.38, 11,164.77 and 7,720.02

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Solution

The fourth proportional to 8,089.38, 11,164.77 and 7,720.02 is: 10,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.38 : 11,164.77 = 7,720.02 : x
  2. Step 2: Convert to fraction form
    8,089.38/11,164.77 = 7,720.02/x
  3. Step 3: Cross multiply
    8,089.38x = 11,164.77 × 7,720.02
  4. Step 4: Simplify right side
    8,089.38x = 86,192,247.70
  5. Step 5: Solve for x
    x = 86,192,247.70/8,089.38
  6. Step 6: Final answer
    x = 10,654.99

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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.