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Finding the Fourth Proportional to 8,233.89, 11,369.31 and 7,604.18

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Solution

The fourth proportional to 8,233.89, 11,369.31 and 7,604.18 is: 10,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.89 : 11,369.31 = 7,604.18 : x
  2. Step 2: Convert to fraction form
    8,233.89/11,369.31 = 7,604.18/x
  3. Step 3: Cross multiply
    8,233.89x = 11,369.31 × 7,604.18
  4. Step 4: Simplify right side
    8,233.89x = 86,454,308.14
  5. Step 5: Solve for x
    x = 86,454,308.14/8,233.89
  6. Step 6: Final answer
    x = 10,499.82

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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.