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Finding the Fourth Proportional to 7,164.56, 10,745.52 and 2,233.52

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Solution

The fourth proportional to 7,164.56, 10,745.52 and 2,233.52 is: 3,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.56 : 10,745.52 = 2,233.52 : x
  2. Step 2: Convert to fraction form
    7,164.56/10,745.52 = 2,233.52/x
  3. Step 3: Cross multiply
    7,164.56x = 10,745.52 × 2,233.52
  4. Step 4: Simplify right side
    7,164.56x = 24,000,333.83
  5. Step 5: Solve for x
    x = 24,000,333.83/7,164.56
  6. Step 6: Final answer
    x = 3,349.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.