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Finding the Fourth Proportional to 8,108.96, 12,155.34 and 6,993.86

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Solution

The fourth proportional to 8,108.96, 12,155.34 and 6,993.86 is: 10,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.96 : 12,155.34 = 6,993.86 : x
  2. Step 2: Convert to fraction form
    8,108.96/12,155.34 = 6,993.86/x
  3. Step 3: Cross multiply
    8,108.96x = 12,155.34 × 6,993.86
  4. Step 4: Simplify right side
    8,108.96x = 85,012,746.21
  5. Step 5: Solve for x
    x = 85,012,746.21/8,108.96
  6. Step 6: Final answer
    x = 10,483.80

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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.