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Finding the Fourth Proportional to 11,738.71, 16,199.54 and 6,433.41

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Solution

The fourth proportional to 11,738.71, 16,199.54 and 6,433.41 is: 8,878.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.71 : 16,199.54 = 6,433.41 : x
  2. Step 2: Convert to fraction form
    11,738.71/16,199.54 = 6,433.41/x
  3. Step 3: Cross multiply
    11,738.71x = 16,199.54 × 6,433.41
  4. Step 4: Simplify right side
    11,738.71x = 104,218,201.63
  5. Step 5: Solve for x
    x = 104,218,201.63/11,738.71
  6. Step 6: Final answer
    x = 8,878.17

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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.