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Finding the Fourth Proportional to 7,523.80, 10,381.78 and 4,166.82

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Solution

The fourth proportional to 7,523.80, 10,381.78 and 4,166.82 is: 5,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.80 : 10,381.78 = 4,166.82 : x
  2. Step 2: Convert to fraction form
    7,523.80/10,381.78 = 4,166.82/x
  3. Step 3: Cross multiply
    7,523.80x = 10,381.78 × 4,166.82
  4. Step 4: Simplify right side
    7,523.80x = 43,259,008.54
  5. Step 5: Solve for x
    x = 43,259,008.54/7,523.80
  6. Step 6: Final answer
    x = 5,749.62

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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.