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Finding the Fourth Proportional to 8,230.90, 12,334.20 and 6,991.60

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Solution

The fourth proportional to 8,230.90, 12,334.20 and 6,991.60 is: 10,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.90 : 12,334.20 = 6,991.60 : x
  2. Step 2: Convert to fraction form
    8,230.90/12,334.20 = 6,991.60/x
  3. Step 3: Cross multiply
    8,230.90x = 12,334.20 × 6,991.60
  4. Step 4: Simplify right side
    8,230.90x = 86,235,792.72
  5. Step 5: Solve for x
    x = 86,235,792.72/8,230.90
  6. Step 6: Final answer
    x = 10,477.08

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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.