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Finding the Fourth Proportional to 8,164.60, 11,251.02 and 5,800.12

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Solution

The fourth proportional to 8,164.60, 11,251.02 and 5,800.12 is: 7,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.60 : 11,251.02 = 5,800.12 : x
  2. Step 2: Convert to fraction form
    8,164.60/11,251.02 = 5,800.12/x
  3. Step 3: Cross multiply
    8,164.60x = 11,251.02 × 5,800.12
  4. Step 4: Simplify right side
    8,164.60x = 65,257,266.12
  5. Step 5: Solve for x
    x = 65,257,266.12/8,164.60
  6. Step 6: Final answer
    x = 7,992.71

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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.