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Finding the Fourth Proportional to 8,220.62, 11,352.74 and 5,237.80

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Solution

The fourth proportional to 8,220.62, 11,352.74 and 5,237.80 is: 7,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.62 : 11,352.74 = 5,237.80 : x
  2. Step 2: Convert to fraction form
    8,220.62/11,352.74 = 5,237.80/x
  3. Step 3: Cross multiply
    8,220.62x = 11,352.74 × 5,237.80
  4. Step 4: Simplify right side
    8,220.62x = 59,463,381.57
  5. Step 5: Solve for x
    x = 59,463,381.57/8,220.62
  6. Step 6: Final answer
    x = 7,233.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.