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Finding the Fourth Proportional to 8,078.86, 12,113.74 and 3,142.86

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Solution

The fourth proportional to 8,078.86, 12,113.74 and 3,142.86 is: 4,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.86 : 12,113.74 = 3,142.86 : x
  2. Step 2: Convert to fraction form
    8,078.86/12,113.74 = 3,142.86/x
  3. Step 3: Cross multiply
    8,078.86x = 12,113.74 × 3,142.86
  4. Step 4: Simplify right side
    8,078.86x = 38,071,788.90
  5. Step 5: Solve for x
    x = 38,071,788.90/8,078.86
  6. Step 6: Final answer
    x = 4,712.52

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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.