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Finding the Fourth Proportional to 8,238.64, 11,369.26 and 4,461.71

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Solution

The fourth proportional to 8,238.64, 11,369.26 and 4,461.71 is: 6,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.64 : 11,369.26 = 4,461.71 : x
  2. Step 2: Convert to fraction form
    8,238.64/11,369.26 = 4,461.71/x
  3. Step 3: Cross multiply
    8,238.64x = 11,369.26 × 4,461.71
  4. Step 4: Simplify right side
    8,238.64x = 50,726,382.66
  5. Step 5: Solve for x
    x = 50,726,382.66/8,238.64
  6. Step 6: Final answer
    x = 6,157.13

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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.