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Finding the Fourth Proportional to 11,885.85, 16,401.82 and 7,105.90

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Solution

The fourth proportional to 11,885.85, 16,401.82 and 7,105.90 is: 9,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.85 : 16,401.82 = 7,105.90 : x
  2. Step 2: Convert to fraction form
    11,885.85/16,401.82 = 7,105.90/x
  3. Step 3: Cross multiply
    11,885.85x = 16,401.82 × 7,105.90
  4. Step 4: Simplify right side
    11,885.85x = 116,549,692.74
  5. Step 5: Solve for x
    x = 116,549,692.74/11,885.85
  6. Step 6: Final answer
    x = 9,805.75

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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.