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Finding the Fourth Proportional to 11,546.88, 15,924.24 and 7,566.56

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Solution

The fourth proportional to 11,546.88, 15,924.24 and 7,566.56 is: 10,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.88 : 15,924.24 = 7,566.56 : x
  2. Step 2: Convert to fraction form
    11,546.88/15,924.24 = 7,566.56/x
  3. Step 3: Cross multiply
    11,546.88x = 15,924.24 × 7,566.56
  4. Step 4: Simplify right side
    11,546.88x = 120,491,717.41
  5. Step 5: Solve for x
    x = 120,491,717.41/11,546.88
  6. Step 6: Final answer
    x = 10,435.00

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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.