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Finding the Fourth Proportional to 11,605.87, 17,401.85 and 4,207.80

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Solution

The fourth proportional to 11,605.87, 17,401.85 and 4,207.80 is: 6,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.87 : 17,401.85 = 4,207.80 : x
  2. Step 2: Convert to fraction form
    11,605.87/17,401.85 = 4,207.80/x
  3. Step 3: Cross multiply
    11,605.87x = 17,401.85 × 4,207.80
  4. Step 4: Simplify right side
    11,605.87x = 73,223,504.43
  5. Step 5: Solve for x
    x = 73,223,504.43/11,605.87
  6. Step 6: Final answer
    x = 6,309.18

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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.