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Finding the Fourth Proportional to 8,501.92, 12,753.83 and 2,262.17

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Solution

The fourth proportional to 8,501.92, 12,753.83 and 2,262.17 is: 3,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.92 : 12,753.83 = 2,262.17 : x
  2. Step 2: Convert to fraction form
    8,501.92/12,753.83 = 2,262.17/x
  3. Step 3: Cross multiply
    8,501.92x = 12,753.83 × 2,262.17
  4. Step 4: Simplify right side
    8,501.92x = 28,851,363.50
  5. Step 5: Solve for x
    x = 28,851,363.50/8,501.92
  6. Step 6: Final answer
    x = 3,393.51

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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.