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Finding the Fourth Proportional to 11,713.68, 16,164.36 and 6,408.72

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Solution

The fourth proportional to 11,713.68, 16,164.36 and 6,408.72 is: 8,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.68 : 16,164.36 = 6,408.72 : x
  2. Step 2: Convert to fraction form
    11,713.68/16,164.36 = 6,408.72/x
  3. Step 3: Cross multiply
    11,713.68x = 16,164.36 × 6,408.72
  4. Step 4: Simplify right side
    11,713.68x = 103,592,857.22
  5. Step 5: Solve for x
    x = 103,592,857.22/11,713.68
  6. Step 6: Final answer
    x = 8,843.75

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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.