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Finding the Fourth Proportional to 8,538.66, 11,785.23 and 5,399.10

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Solution

The fourth proportional to 8,538.66, 11,785.23 and 5,399.10 is: 7,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.66 : 11,785.23 = 5,399.10 : x
  2. Step 2: Convert to fraction form
    8,538.66/11,785.23 = 5,399.10/x
  3. Step 3: Cross multiply
    8,538.66x = 11,785.23 × 5,399.10
  4. Step 4: Simplify right side
    8,538.66x = 63,629,635.29
  5. Step 5: Solve for x
    x = 63,629,635.29/8,538.66
  6. Step 6: Final answer
    x = 7,451.95

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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.