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Finding the Fourth Proportional to 8,186.78, 12,277.92 and 3,188.36

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Solution

The fourth proportional to 8,186.78, 12,277.92 and 3,188.36 is: 4,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.78 : 12,277.92 = 3,188.36 : x
  2. Step 2: Convert to fraction form
    8,186.78/12,277.92 = 3,188.36/x
  3. Step 3: Cross multiply
    8,186.78x = 12,277.92 × 3,188.36
  4. Step 4: Simplify right side
    8,186.78x = 39,146,429.01
  5. Step 5: Solve for x
    x = 39,146,429.01/8,186.78
  6. Step 6: Final answer
    x = 4,781.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.