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Finding the Fourth Proportional to 8,223.17, 11,334.16 and 6,233.09

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Solution

The fourth proportional to 8,223.17, 11,334.16 and 6,233.09 is: 8,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.17 : 11,334.16 = 6,233.09 : x
  2. Step 2: Convert to fraction form
    8,223.17/11,334.16 = 6,233.09/x
  3. Step 3: Cross multiply
    8,223.17x = 11,334.16 × 6,233.09
  4. Step 4: Simplify right side
    8,223.17x = 70,646,808.19
  5. Step 5: Solve for x
    x = 70,646,808.19/8,223.17
  6. Step 6: Final answer
    x = 8,591.19

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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.