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Finding the Fourth Proportional to 8,723.25, 13,090.36 and 8,162.83

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Solution

The fourth proportional to 8,723.25, 13,090.36 and 8,162.83 is: 12,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.25 : 13,090.36 = 8,162.83 : x
  2. Step 2: Convert to fraction form
    8,723.25/13,090.36 = 8,162.83/x
  3. Step 3: Cross multiply
    8,723.25x = 13,090.36 × 8,162.83
  4. Step 4: Simplify right side
    8,723.25x = 106,854,383.32
  5. Step 5: Solve for x
    x = 106,854,383.32/8,723.25
  6. Step 6: Final answer
    x = 12,249.38

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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.