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Finding the Fourth Proportional to 7,233.54, 10,850.31 and 6,864.18

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Solution

The fourth proportional to 7,233.54, 10,850.31 and 6,864.18 is: 10,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.54 : 10,850.31 = 6,864.18 : x
  2. Step 2: Convert to fraction form
    7,233.54/10,850.31 = 6,864.18/x
  3. Step 3: Cross multiply
    7,233.54x = 10,850.31 × 6,864.18
  4. Step 4: Simplify right side
    7,233.54x = 74,478,480.90
  5. Step 5: Solve for x
    x = 74,478,480.90/7,233.54
  6. Step 6: Final answer
    x = 10,296.27

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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.