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Finding the Fourth Proportional to 7,164.54, 10,747.42 and 2,233.17

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Solution

The fourth proportional to 7,164.54, 10,747.42 and 2,233.17 is: 3,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.54 : 10,747.42 = 2,233.17 : x
  2. Step 2: Convert to fraction form
    7,164.54/10,747.42 = 2,233.17/x
  3. Step 3: Cross multiply
    7,164.54x = 10,747.42 × 2,233.17
  4. Step 4: Simplify right side
    7,164.54x = 24,000,810.34
  5. Step 5: Solve for x
    x = 24,000,810.34/7,164.54
  6. Step 6: Final answer
    x = 3,349.94

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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.