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Finding the Fourth Proportional to 8,164.41, 11,266.89 and 4,438.41

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Solution

The fourth proportional to 8,164.41, 11,266.89 and 4,438.41 is: 6,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.41 : 11,266.89 = 4,438.41 : x
  2. Step 2: Convert to fraction form
    8,164.41/11,266.89 = 4,438.41/x
  3. Step 3: Cross multiply
    8,164.41x = 11,266.89 × 4,438.41
  4. Step 4: Simplify right side
    8,164.41x = 50,007,018.35
  5. Step 5: Solve for x
    x = 50,007,018.35/8,164.41
  6. Step 6: Final answer
    x = 6,125.00

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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.