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Finding the Fourth Proportional to 11,297.75, 16,924.57 and 5,366.20

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Solution

The fourth proportional to 11,297.75, 16,924.57 and 5,366.20 is: 8,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.75 : 16,924.57 = 5,366.20 : x
  2. Step 2: Convert to fraction form
    11,297.75/16,924.57 = 5,366.20/x
  3. Step 3: Cross multiply
    11,297.75x = 16,924.57 × 5,366.20
  4. Step 4: Simplify right side
    11,297.75x = 90,820,516.08
  5. Step 5: Solve for x
    x = 90,820,516.08/11,297.75
  6. Step 6: Final answer
    x = 8,038.82

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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.