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Finding the Fourth Proportional to 7,522.82, 10,381.87 and 4,166

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Solution

The fourth proportional to 7,522.82, 10,381.87 and 4,166 is: 5,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.82 : 10,381.87 = 4,166 : x
  2. Step 2: Convert to fraction form
    7,522.82/10,381.87 = 4,166/x
  3. Step 3: Cross multiply
    7,522.82x = 10,381.87 × 4,166
  4. Step 4: Simplify right side
    7,522.82x = 43,250,870.42
  5. Step 5: Solve for x
    x = 43,250,870.42/7,522.82
  6. Step 6: Final answer
    x = 5,749.29

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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.