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Finding the Fourth Proportional to 11,599.20, 17,397.18 and 3,807

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Solution

The fourth proportional to 11,599.20, 17,397.18 and 3,807 is: 5,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.20 : 17,397.18 = 3,807 : x
  2. Step 2: Convert to fraction form
    11,599.20/17,397.18 = 3,807/x
  3. Step 3: Cross multiply
    11,599.20x = 17,397.18 × 3,807
  4. Step 4: Simplify right side
    11,599.20x = 66,231,064.26
  5. Step 5: Solve for x
    x = 66,231,064.26/11,599.20
  6. Step 6: Final answer
    x = 5,709.97

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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.