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Finding the Fourth Proportional to 7,523.67, 10,382.22 and 4,166.30

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Solution

The fourth proportional to 7,523.67, 10,382.22 and 4,166.30 is: 5,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.67 : 10,382.22 = 4,166.30 : x
  2. Step 2: Convert to fraction form
    7,523.67/10,382.22 = 4,166.30/x
  3. Step 3: Cross multiply
    7,523.67x = 10,382.22 × 4,166.30
  4. Step 4: Simplify right side
    7,523.67x = 43,255,391.27
  5. Step 5: Solve for x
    x = 43,255,391.27/7,523.67
  6. Step 6: Final answer
    x = 5,749.24

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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.