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Finding the Fourth Proportional to 10,843.20, 16,264.80 and 3,052.01

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Solution

The fourth proportional to 10,843.20, 16,264.80 and 3,052.01 is: 4,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.20 : 16,264.80 = 3,052.01 : x
  2. Step 2: Convert to fraction form
    10,843.20/16,264.80 = 3,052.01/x
  3. Step 3: Cross multiply
    10,843.20x = 16,264.80 × 3,052.01
  4. Step 4: Simplify right side
    10,843.20x = 49,640,332.25
  5. Step 5: Solve for x
    x = 49,640,332.25/10,843.20
  6. Step 6: Final answer
    x = 4,578.02

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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.