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Finding the Fourth Proportional to 11,282.75, 16,924.13 and 3,074.75

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Solution

The fourth proportional to 11,282.75, 16,924.13 and 3,074.75 is: 4,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.75 : 16,924.13 = 3,074.75 : x
  2. Step 2: Convert to fraction form
    11,282.75/16,924.13 = 3,074.75/x
  3. Step 3: Cross multiply
    11,282.75x = 16,924.13 × 3,074.75
  4. Step 4: Simplify right side
    11,282.75x = 52,037,468.72
  5. Step 5: Solve for x
    x = 52,037,468.72/11,282.75
  6. Step 6: Final answer
    x = 4,612.13

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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.