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Finding the Fourth Proportional to 8,230.72, 11,355.36 and 5,401.60

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Solution

The fourth proportional to 8,230.72, 11,355.36 and 5,401.60 is: 7,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.72 : 11,355.36 = 5,401.60 : x
  2. Step 2: Convert to fraction form
    8,230.72/11,355.36 = 5,401.60/x
  3. Step 3: Cross multiply
    8,230.72x = 11,355.36 × 5,401.60
  4. Step 4: Simplify right side
    8,230.72x = 61,337,112.58
  5. Step 5: Solve for x
    x = 61,337,112.58/8,230.72
  6. Step 6: Final answer
    x = 7,452.22

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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.