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Finding the Fourth Proportional to 8,976.25, 13,466.55 and 2,820.25

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Solution

The fourth proportional to 8,976.25, 13,466.55 and 2,820.25 is: 4,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.25 : 13,466.55 = 2,820.25 : x
  2. Step 2: Convert to fraction form
    8,976.25/13,466.55 = 2,820.25/x
  3. Step 3: Cross multiply
    8,976.25x = 13,466.55 × 2,820.25
  4. Step 4: Simplify right side
    8,976.25x = 37,979,037.64
  5. Step 5: Solve for x
    x = 37,979,037.64/8,976.25
  6. Step 6: Final answer
    x = 4,231.06

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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.