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Finding the Fourth Proportional to 7,165.46, 10,745.30 and 2,233.58

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Solution

The fourth proportional to 7,165.46, 10,745.30 and 2,233.58 is: 3,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.46 : 10,745.30 = 2,233.58 : x
  2. Step 2: Convert to fraction form
    7,165.46/10,745.30 = 2,233.58/x
  3. Step 3: Cross multiply
    7,165.46x = 10,745.30 × 2,233.58
  4. Step 4: Simplify right side
    7,165.46x = 24,000,487.17
  5. Step 5: Solve for x
    x = 24,000,487.17/7,165.46
  6. Step 6: Final answer
    x = 3,349.47

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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.