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Finding the Fourth Proportional to 11,604.75, 17,407.53 and 3,814.17

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Solution

The fourth proportional to 11,604.75, 17,407.53 and 3,814.17 is: 5,721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.75 : 17,407.53 = 3,814.17 : x
  2. Step 2: Convert to fraction form
    11,604.75/17,407.53 = 3,814.17/x
  3. Step 3: Cross multiply
    11,604.75x = 17,407.53 × 3,814.17
  4. Step 4: Simplify right side
    11,604.75x = 66,395,278.70
  5. Step 5: Solve for x
    x = 66,395,278.70/11,604.75
  6. Step 6: Final answer
    x = 5,721.39

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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.