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Finding the Fourth Proportional to 8,010.96, 12,013.20 and 2,463

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Solution

The fourth proportional to 8,010.96, 12,013.20 and 2,463 is: 3,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.96 : 12,013.20 = 2,463 : x
  2. Step 2: Convert to fraction form
    8,010.96/12,013.20 = 2,463/x
  3. Step 3: Cross multiply
    8,010.96x = 12,013.20 × 2,463
  4. Step 4: Simplify right side
    8,010.96x = 29,588,511.60
  5. Step 5: Solve for x
    x = 29,588,511.60/8,010.96
  6. Step 6: Final answer
    x = 3,693.50

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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.