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Finding the Fourth Proportional to 11,713.85, 16,165.10 and 6,408.70

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Solution

The fourth proportional to 11,713.85, 16,165.10 and 6,408.70 is: 8,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.85 : 16,165.10 = 6,408.70 : x
  2. Step 2: Convert to fraction form
    11,713.85/16,165.10 = 6,408.70/x
  3. Step 3: Cross multiply
    11,713.85x = 16,165.10 × 6,408.70
  4. Step 4: Simplify right side
    11,713.85x = 103,597,276.37
  5. Step 5: Solve for x
    x = 103,597,276.37/11,713.85
  6. Step 6: Final answer
    x = 8,844.00

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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.