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Finding the Fourth Proportional to 7,523.57, 10,381.73 and 4,166.29

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Solution

The fourth proportional to 7,523.57, 10,381.73 and 4,166.29 is: 5,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.57 : 10,381.73 = 4,166.29 : x
  2. Step 2: Convert to fraction form
    7,523.57/10,381.73 = 4,166.29/x
  3. Step 3: Cross multiply
    7,523.57x = 10,381.73 × 4,166.29
  4. Step 4: Simplify right side
    7,523.57x = 43,253,282.34
  5. Step 5: Solve for x
    x = 43,253,282.34/7,523.57
  6. Step 6: Final answer
    x = 5,749.04

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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.