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Finding the Fourth Proportional to 37,809.64, 56,717.34 and 11,516.44

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Solution

The fourth proportional to 37,809.64, 56,717.34 and 11,516.44 is: 17,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,809.64 : 56,717.34 = 11,516.44 : x
  2. Step 2: Convert to fraction form
    37,809.64/56,717.34 = 11,516.44/x
  3. Step 3: Cross multiply
    37,809.64x = 56,717.34 × 11,516.44
  4. Step 4: Simplify right side
    37,809.64x = 653,181,843.07
  5. Step 5: Solve for x
    x = 653,181,843.07/37,809.64
  6. Step 6: Final answer
    x = 17,275.54

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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.