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Finding the Fourth Proportional to 8,029.48, 12,041.10 and 2,763.50

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Solution

The fourth proportional to 8,029.48, 12,041.10 and 2,763.50 is: 4,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029.48 : 12,041.10 = 2,763.50 : x
  2. Step 2: Convert to fraction form
    8,029.48/12,041.10 = 2,763.50/x
  3. Step 3: Cross multiply
    8,029.48x = 12,041.10 × 2,763.50
  4. Step 4: Simplify right side
    8,029.48x = 33,275,579.85
  5. Step 5: Solve for x
    x = 33,275,579.85/8,029.48
  6. Step 6: Final answer
    x = 4,144.18

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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.