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Finding the Fourth Proportional to 11,650.29, 17,478.16 and 3,859.10

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Solution

The fourth proportional to 11,650.29, 17,478.16 and 3,859.10 is: 5,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.29 : 17,478.16 = 3,859.10 : x
  2. Step 2: Convert to fraction form
    11,650.29/17,478.16 = 3,859.10/x
  3. Step 3: Cross multiply
    11,650.29x = 17,478.16 × 3,859.10
  4. Step 4: Simplify right side
    11,650.29x = 67,449,967.26
  5. Step 5: Solve for x
    x = 67,449,967.26/11,650.29
  6. Step 6: Final answer
    x = 5,789.55

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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.