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Finding the Fourth Proportional to 8,077.47, 12,116.21 and 2,530.86

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Solution

The fourth proportional to 8,077.47, 12,116.21 and 2,530.86 is: 3,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.47 : 12,116.21 = 2,530.86 : x
  2. Step 2: Convert to fraction form
    8,077.47/12,116.21 = 2,530.86/x
  3. Step 3: Cross multiply
    8,077.47x = 12,116.21 × 2,530.86
  4. Step 4: Simplify right side
    8,077.47x = 30,664,431.24
  5. Step 5: Solve for x
    x = 30,664,431.24/8,077.47
  6. Step 6: Final answer
    x = 3,796.29

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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.