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Finding the Fourth Proportional to 8,223.69, 12,329.36 and 2,673.74

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Solution

The fourth proportional to 8,223.69, 12,329.36 and 2,673.74 is: 4,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.69 : 12,329.36 = 2,673.74 : x
  2. Step 2: Convert to fraction form
    8,223.69/12,329.36 = 2,673.74/x
  3. Step 3: Cross multiply
    8,223.69x = 12,329.36 × 2,673.74
  4. Step 4: Simplify right side
    8,223.69x = 32,965,427.99
  5. Step 5: Solve for x
    x = 32,965,427.99/8,223.69
  6. Step 6: Final answer
    x = 4,008.59

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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.