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Finding the Fourth Proportional to 11,515.59, 15,891.35 and 6,738.82

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Solution

The fourth proportional to 11,515.59, 15,891.35 and 6,738.82 is: 9,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.59 : 15,891.35 = 6,738.82 : x
  2. Step 2: Convert to fraction form
    11,515.59/15,891.35 = 6,738.82/x
  3. Step 3: Cross multiply
    11,515.59x = 15,891.35 × 6,738.82
  4. Step 4: Simplify right side
    11,515.59x = 107,088,873.78
  5. Step 5: Solve for x
    x = 107,088,873.78/11,515.59
  6. Step 6: Final answer
    x = 9,299.47

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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.