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Finding the Fourth Proportional to 8,238.56, 11,369.24 and 4,461.77

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Solution

The fourth proportional to 8,238.56, 11,369.24 and 4,461.77 is: 6,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.56 : 11,369.24 = 4,461.77 : x
  2. Step 2: Convert to fraction form
    8,238.56/11,369.24 = 4,461.77/x
  3. Step 3: Cross multiply
    8,238.56x = 11,369.24 × 4,461.77
  4. Step 4: Simplify right side
    8,238.56x = 50,726,854.80
  5. Step 5: Solve for x
    x = 50,726,854.80/8,238.56
  6. Step 6: Final answer
    x = 6,157.25

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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.