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Finding the Fourth Proportional to 11,539.66, 17,310.32 and 4,144.18

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Solution

The fourth proportional to 11,539.66, 17,310.32 and 4,144.18 is: 6,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.66 : 17,310.32 = 4,144.18 : x
  2. Step 2: Convert to fraction form
    11,539.66/17,310.32 = 4,144.18/x
  3. Step 3: Cross multiply
    11,539.66x = 17,310.32 × 4,144.18
  4. Step 4: Simplify right side
    11,539.66x = 71,736,974.67
  5. Step 5: Solve for x
    x = 71,736,974.67/11,539.66
  6. Step 6: Final answer
    x = 6,216.56

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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.