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Finding the Fourth Proportional to 7,522.68, 10,380.62 and 4,165.34

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Solution

The fourth proportional to 7,522.68, 10,380.62 and 4,165.34 is: 5,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.68 : 10,380.62 = 4,165.34 : x
  2. Step 2: Convert to fraction form
    7,522.68/10,380.62 = 4,165.34/x
  3. Step 3: Cross multiply
    7,522.68x = 10,380.62 × 4,165.34
  4. Step 4: Simplify right side
    7,522.68x = 43,238,738.98
  5. Step 5: Solve for x
    x = 43,238,738.98/7,522.68
  6. Step 6: Final answer
    x = 5,747.78

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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.