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Finding the Fourth Proportional to 7,725.92, 11,588.12 and 3,832.88

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Solution

The fourth proportional to 7,725.92, 11,588.12 and 3,832.88 is: 5,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.92 : 11,588.12 = 3,832.88 : x
  2. Step 2: Convert to fraction form
    7,725.92/11,588.12 = 3,832.88/x
  3. Step 3: Cross multiply
    7,725.92x = 11,588.12 × 3,832.88
  4. Step 4: Simplify right side
    7,725.92x = 44,415,873.39
  5. Step 5: Solve for x
    x = 44,415,873.39/7,725.92
  6. Step 6: Final answer
    x = 5,748.94

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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.