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Finding the Fourth Proportional to 8,241.92, 12,363.64 and 2,695.30

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Solution

The fourth proportional to 8,241.92, 12,363.64 and 2,695.30 is: 4,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.92 : 12,363.64 = 2,695.30 : x
  2. Step 2: Convert to fraction form
    8,241.92/12,363.64 = 2,695.30/x
  3. Step 3: Cross multiply
    8,241.92x = 12,363.64 × 2,695.30
  4. Step 4: Simplify right side
    8,241.92x = 33,323,657.07
  5. Step 5: Solve for x
    x = 33,323,657.07/8,241.92
  6. Step 6: Final answer
    x = 4,043.19

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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.