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Finding the Fourth Proportional to 11,294.82, 16,937.88 and 8,165.34

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Solution

The fourth proportional to 11,294.82, 16,937.88 and 8,165.34 is: 12,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.82 : 16,937.88 = 8,165.34 : x
  2. Step 2: Convert to fraction form
    11,294.82/16,937.88 = 8,165.34/x
  3. Step 3: Cross multiply
    11,294.82x = 16,937.88 × 8,165.34
  4. Step 4: Simplify right side
    11,294.82x = 138,303,549.08
  5. Step 5: Solve for x
    x = 138,303,549.08/11,294.82
  6. Step 6: Final answer
    x = 12,244.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.