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Finding the Fourth Proportional to 8,523.24, 11,758.95 and 5,163.63

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Solution

The fourth proportional to 8,523.24, 11,758.95 and 5,163.63 is: 7,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.24 : 11,758.95 = 5,163.63 : x
  2. Step 2: Convert to fraction form
    8,523.24/11,758.95 = 5,163.63/x
  3. Step 3: Cross multiply
    8,523.24x = 11,758.95 × 5,163.63
  4. Step 4: Simplify right side
    8,523.24x = 60,718,866.99
  5. Step 5: Solve for x
    x = 60,718,866.99/8,523.24
  6. Step 6: Final answer
    x = 7,123.92

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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.