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Finding the Fourth Proportional to 8,223.80, 12,334.86 and 3,543.62

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Solution

The fourth proportional to 8,223.80, 12,334.86 and 3,543.62 is: 5,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.80 : 12,334.86 = 3,543.62 : x
  2. Step 2: Convert to fraction form
    8,223.80/12,334.86 = 3,543.62/x
  3. Step 3: Cross multiply
    8,223.80x = 12,334.86 × 3,543.62
  4. Step 4: Simplify right side
    8,223.80x = 43,709,994.92
  5. Step 5: Solve for x
    x = 43,709,994.92/8,223.80
  6. Step 6: Final answer
    x = 5,315.06

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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.