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Finding the Fourth Proportional to 11,605.70, 17,411.18 and 3,814.58

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Solution

The fourth proportional to 11,605.70, 17,411.18 and 3,814.58 is: 5,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.70 : 17,411.18 = 3,814.58 : x
  2. Step 2: Convert to fraction form
    11,605.70/17,411.18 = 3,814.58/x
  3. Step 3: Cross multiply
    11,605.70x = 17,411.18 × 3,814.58
  4. Step 4: Simplify right side
    11,605.70x = 66,416,232.88
  5. Step 5: Solve for x
    x = 66,416,232.88/11,605.70
  6. Step 6: Final answer
    x = 5,722.73

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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.