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Finding the Fourth Proportional to 10,843.54, 16,265.32 and 3,052.35

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Solution

The fourth proportional to 10,843.54, 16,265.32 and 3,052.35 is: 4,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.54 : 16,265.32 = 3,052.35 : x
  2. Step 2: Convert to fraction form
    10,843.54/16,265.32 = 3,052.35/x
  3. Step 3: Cross multiply
    10,843.54x = 16,265.32 × 3,052.35
  4. Step 4: Simplify right side
    10,843.54x = 49,647,449.50
  5. Step 5: Solve for x
    x = 49,647,449.50/10,843.54
  6. Step 6: Final answer
    x = 4,578.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.