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Finding the Fourth Proportional to 8,078.52, 12,119.14 and 2,530.76

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Solution

The fourth proportional to 8,078.52, 12,119.14 and 2,530.76 is: 3,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.52 : 12,119.14 = 2,530.76 : x
  2. Step 2: Convert to fraction form
    8,078.52/12,119.14 = 2,530.76/x
  3. Step 3: Cross multiply
    8,078.52x = 12,119.14 × 2,530.76
  4. Step 4: Simplify right side
    8,078.52x = 30,670,634.75
  5. Step 5: Solve for x
    x = 30,670,634.75/8,078.52
  6. Step 6: Final answer
    x = 3,796.57

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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.