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Finding the Fourth Proportional to 7,522.82, 10,381.42 and 4,165.78

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Solution

The fourth proportional to 7,522.82, 10,381.42 and 4,165.78 is: 5,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.82 : 10,381.42 = 4,165.78 : x
  2. Step 2: Convert to fraction form
    7,522.82/10,381.42 = 4,165.78/x
  3. Step 3: Cross multiply
    7,522.82x = 10,381.42 × 4,165.78
  4. Step 4: Simplify right side
    7,522.82x = 43,246,687.09
  5. Step 5: Solve for x
    x = 43,246,687.09/7,522.82
  6. Step 6: Final answer
    x = 5,748.73

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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.