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Finding the Fourth Proportional to 8,185.78, 12,276.42 and 3,187.36

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Solution

The fourth proportional to 8,185.78, 12,276.42 and 3,187.36 is: 4,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.78 : 12,276.42 = 3,187.36 : x
  2. Step 2: Convert to fraction form
    8,185.78/12,276.42 = 3,187.36/x
  3. Step 3: Cross multiply
    8,185.78x = 12,276.42 × 3,187.36
  4. Step 4: Simplify right side
    8,185.78x = 39,129,370.05
  5. Step 5: Solve for x
    x = 39,129,370.05/8,185.78
  6. Step 6: Final answer
    x = 4,780.16

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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.