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Finding the Fourth Proportional to 8,078.86, 12,119.10 and 2,883.52

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Solution

The fourth proportional to 8,078.86, 12,119.10 and 2,883.52 is: 4,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.86 : 12,119.10 = 2,883.52 : x
  2. Step 2: Convert to fraction form
    8,078.86/12,119.10 = 2,883.52/x
  3. Step 3: Cross multiply
    8,078.86x = 12,119.10 × 2,883.52
  4. Step 4: Simplify right side
    8,078.86x = 34,945,667.23
  5. Step 5: Solve for x
    x = 34,945,667.23/8,078.86
  6. Step 6: Final answer
    x = 4,325.57

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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.