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Finding the Fourth Proportional to 11,713.62, 16,165.19 and 6,408.45

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Solution

The fourth proportional to 11,713.62, 16,165.19 and 6,408.45 is: 8,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.62 : 16,165.19 = 6,408.45 : x
  2. Step 2: Convert to fraction form
    11,713.62/16,165.19 = 6,408.45/x
  3. Step 3: Cross multiply
    11,713.62x = 16,165.19 × 6,408.45
  4. Step 4: Simplify right side
    11,713.62x = 103,593,779.81
  5. Step 5: Solve for x
    x = 103,593,779.81/11,713.62
  6. Step 6: Final answer
    x = 8,843.87

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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.