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Finding the Fourth Proportional to 8,185.48, 12,277 and 2,991.36

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Solution

The fourth proportional to 8,185.48, 12,277 and 2,991.36 is: 4,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.48 : 12,277 = 2,991.36 : x
  2. Step 2: Convert to fraction form
    8,185.48/12,277 = 2,991.36/x
  3. Step 3: Cross multiply
    8,185.48x = 12,277 × 2,991.36
  4. Step 4: Simplify right side
    8,185.48x = 36,724,926.72
  5. Step 5: Solve for x
    x = 36,724,926.72/8,185.48
  6. Step 6: Final answer
    x = 4,486.59

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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.