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Finding the Fourth Proportional to 7,549.92, 11,322.72 and 2,616.96

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Solution

The fourth proportional to 7,549.92, 11,322.72 and 2,616.96 is: 3,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.92 : 11,322.72 = 2,616.96 : x
  2. Step 2: Convert to fraction form
    7,549.92/11,322.72 = 2,616.96/x
  3. Step 3: Cross multiply
    7,549.92x = 11,322.72 × 2,616.96
  4. Step 4: Simplify right side
    7,549.92x = 29,631,105.33
  5. Step 5: Solve for x
    x = 29,631,105.33/7,549.92
  6. Step 6: Final answer
    x = 3,924.69

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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.