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Finding the Fourth Proportional to 11,713.86, 16,165.52 and 6,408.68

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Solution

The fourth proportional to 11,713.86, 16,165.52 and 6,408.68 is: 8,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.86 : 16,165.52 = 6,408.68 : x
  2. Step 2: Convert to fraction form
    11,713.86/16,165.52 = 6,408.68/x
  3. Step 3: Cross multiply
    11,713.86x = 16,165.52 × 6,408.68
  4. Step 4: Simplify right side
    11,713.86x = 103,599,592.46
  5. Step 5: Solve for x
    x = 103,599,592.46/11,713.86
  6. Step 6: Final answer
    x = 8,844.19

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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.