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Finding the Fourth Proportional to 11,399.64, 15,738.08 and 8,689.57

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Solution

The fourth proportional to 11,399.64, 15,738.08 and 8,689.57 is: 11,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.64 : 15,738.08 = 8,689.57 : x
  2. Step 2: Convert to fraction form
    11,399.64/15,738.08 = 8,689.57/x
  3. Step 3: Cross multiply
    11,399.64x = 15,738.08 × 8,689.57
  4. Step 4: Simplify right side
    11,399.64x = 136,757,147.83
  5. Step 5: Solve for x
    x = 136,757,147.83/11,399.64
  6. Step 6: Final answer
    x = 11,996.62

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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.