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Finding the Fourth Proportional to 8,223.62, 12,334.80 and 3,029

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Solution

The fourth proportional to 8,223.62, 12,334.80 and 3,029 is: 4,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.62 : 12,334.80 = 3,029 : x
  2. Step 2: Convert to fraction form
    8,223.62/12,334.80 = 3,029/x
  3. Step 3: Cross multiply
    8,223.62x = 12,334.80 × 3,029
  4. Step 4: Simplify right side
    8,223.62x = 37,362,109.20
  5. Step 5: Solve for x
    x = 37,362,109.20/8,223.62
  6. Step 6: Final answer
    x = 4,543.27

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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.