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Finding the Fourth Proportional to 8,363.73, 12,536.81 and 2,815.16

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Solution

The fourth proportional to 8,363.73, 12,536.81 and 2,815.16 is: 4,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.73 : 12,536.81 = 2,815.16 : x
  2. Step 2: Convert to fraction form
    8,363.73/12,536.81 = 2,815.16/x
  3. Step 3: Cross multiply
    8,363.73x = 12,536.81 × 2,815.16
  4. Step 4: Simplify right side
    8,363.73x = 35,293,059.84
  5. Step 5: Solve for x
    x = 35,293,059.84/8,363.73
  6. Step 6: Final answer
    x = 4,219.77

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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.