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Finding the Fourth Proportional to 8,167.50, 12,249.83 and 2,322.95

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Solution

The fourth proportional to 8,167.50, 12,249.83 and 2,322.95 is: 3,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.50 : 12,249.83 = 2,322.95 : x
  2. Step 2: Convert to fraction form
    8,167.50/12,249.83 = 2,322.95/x
  3. Step 3: Cross multiply
    8,167.50x = 12,249.83 × 2,322.95
  4. Step 4: Simplify right side
    8,167.50x = 28,455,687.16
  5. Step 5: Solve for x
    x = 28,455,687.16/8,167.50
  6. Step 6: Final answer
    x = 3,484.01

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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.