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Finding the Fourth Proportional to 11,568.44, 15,960.30 and 10,451

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Solution

The fourth proportional to 11,568.44, 15,960.30 and 10,451 is: 14,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.44 : 15,960.30 = 10,451 : x
  2. Step 2: Convert to fraction form
    11,568.44/15,960.30 = 10,451/x
  3. Step 3: Cross multiply
    11,568.44x = 15,960.30 × 10,451
  4. Step 4: Simplify right side
    11,568.44x = 166,801,095.30
  5. Step 5: Solve for x
    x = 166,801,095.30/11,568.44
  6. Step 6: Final answer
    x = 14,418.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.