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Finding the Fourth Proportional to 8,077.56, 12,116 and 2,530.79

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Solution

The fourth proportional to 8,077.56, 12,116 and 2,530.79 is: 3,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.56 : 12,116 = 2,530.79 : x
  2. Step 2: Convert to fraction form
    8,077.56/12,116 = 2,530.79/x
  3. Step 3: Cross multiply
    8,077.56x = 12,116 × 2,530.79
  4. Step 4: Simplify right side
    8,077.56x = 30,662,991.06
  5. Step 5: Solve for x
    x = 30,662,991.06/8,077.56
  6. Step 6: Final answer
    x = 3,796.07

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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.