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Finding the Fourth Proportional to 11,713.49, 16,165.00 and 6,408.30

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Solution

The fourth proportional to 11,713.49, 16,165.00 and 6,408.30 is: 8,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.49 : 16,165.00 = 6,408.30 : x
  2. Step 2: Convert to fraction form
    11,713.49/16,165.00 = 6,408.30/x
  3. Step 3: Cross multiply
    11,713.49x = 16,165.00 × 6,408.30
  4. Step 4: Simplify right side
    11,713.49x = 103,590,214.10
  5. Step 5: Solve for x
    x = 103,590,214.10/11,713.49
  6. Step 6: Final answer
    x = 8,843.67

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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.