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Finding the Fourth Proportional to 8,713.50, 13,066.94 and 3,712.73

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Solution

The fourth proportional to 8,713.50, 13,066.94 and 3,712.73 is: 5,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.50 : 13,066.94 = 3,712.73 : x
  2. Step 2: Convert to fraction form
    8,713.50/13,066.94 = 3,712.73/x
  3. Step 3: Cross multiply
    8,713.50x = 13,066.94 × 3,712.73
  4. Step 4: Simplify right side
    8,713.50x = 48,513,936.25
  5. Step 5: Solve for x
    x = 48,513,936.25/8,713.50
  6. Step 6: Final answer
    x = 5,567.68

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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.