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Finding the Fourth Proportional to 7,441.92, 11,166.48 and 5,264.64

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Solution

The fourth proportional to 7,441.92, 11,166.48 and 5,264.64 is: 7,899.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.92 : 11,166.48 = 5,264.64 : x
  2. Step 2: Convert to fraction form
    7,441.92/11,166.48 = 5,264.64/x
  3. Step 3: Cross multiply
    7,441.92x = 11,166.48 × 5,264.64
  4. Step 4: Simplify right side
    7,441.92x = 58,787,497.27
  5. Step 5: Solve for x
    x = 58,787,497.27/7,441.92
  6. Step 6: Final answer
    x = 7,899.51

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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.