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Finding the Fourth Proportional to 11,713.31, 16,164.33 and 6,408.11

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Solution

The fourth proportional to 11,713.31, 16,164.33 and 6,408.11 is: 8,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.31 : 16,164.33 = 6,408.11 : x
  2. Step 2: Convert to fraction form
    11,713.31/16,164.33 = 6,408.11/x
  3. Step 3: Cross multiply
    11,713.31x = 16,164.33 × 6,408.11
  4. Step 4: Simplify right side
    11,713.31x = 103,582,821.10
  5. Step 5: Solve for x
    x = 103,582,821.10/11,713.31
  6. Step 6: Final answer
    x = 8,843.17

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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.