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Finding the Fourth Proportional to 6,782.52, 10,174.08 and 2,833.32

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Solution

The fourth proportional to 6,782.52, 10,174.08 and 2,833.32 is: 4,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.52 : 10,174.08 = 2,833.32 : x
  2. Step 2: Convert to fraction form
    6,782.52/10,174.08 = 2,833.32/x
  3. Step 3: Cross multiply
    6,782.52x = 10,174.08 × 2,833.32
  4. Step 4: Simplify right side
    6,782.52x = 28,826,424.35
  5. Step 5: Solve for x
    x = 28,826,424.35/6,782.52
  6. Step 6: Final answer
    x = 4,250.11

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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.