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Finding the Fourth Proportional to 11,600.01, 17,401.94 and 3,807

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Solution

The fourth proportional to 11,600.01, 17,401.94 and 3,807 is: 5,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.01 : 17,401.94 = 3,807 : x
  2. Step 2: Convert to fraction form
    11,600.01/17,401.94 = 3,807/x
  3. Step 3: Cross multiply
    11,600.01x = 17,401.94 × 3,807
  4. Step 4: Simplify right side
    11,600.01x = 66,249,180.82
  5. Step 5: Solve for x
    x = 66,249,180.82/11,600.01
  6. Step 6: Final answer
    x = 5,711.13

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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.