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Finding the Fourth Proportional to 8,493.27, 12,735 and 3,293.07

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Solution

The fourth proportional to 8,493.27, 12,735 and 3,293.07 is: 4,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.27 : 12,735 = 3,293.07 : x
  2. Step 2: Convert to fraction form
    8,493.27/12,735 = 3,293.07/x
  3. Step 3: Cross multiply
    8,493.27x = 12,735 × 3,293.07
  4. Step 4: Simplify right side
    8,493.27x = 41,937,246.45
  5. Step 5: Solve for x
    x = 41,937,246.45/8,493.27
  6. Step 6: Final answer
    x = 4,937.70

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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.