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Finding the Fourth Proportional to 8,150.40, 12,233.81 and 5,952.47

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Solution

The fourth proportional to 8,150.40, 12,233.81 and 5,952.47 is: 8,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.40 : 12,233.81 = 5,952.47 : x
  2. Step 2: Convert to fraction form
    8,150.40/12,233.81 = 5,952.47/x
  3. Step 3: Cross multiply
    8,150.40x = 12,233.81 × 5,952.47
  4. Step 4: Simplify right side
    8,150.40x = 72,821,296.08
  5. Step 5: Solve for x
    x = 72,821,296.08/8,150.40
  6. Step 6: Final answer
    x = 8,934.69

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