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Finding the Fourth Proportional to 8,103.66, 12,154.14 and 2,260.86

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Solution

The fourth proportional to 8,103.66, 12,154.14 and 2,260.86 is: 3,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.66 : 12,154.14 = 2,260.86 : x
  2. Step 2: Convert to fraction form
    8,103.66/12,154.14 = 2,260.86/x
  3. Step 3: Cross multiply
    8,103.66x = 12,154.14 × 2,260.86
  4. Step 4: Simplify right side
    8,103.66x = 27,478,808.96
  5. Step 5: Solve for x
    x = 27,478,808.96/8,103.66
  6. Step 6: Final answer
    x = 3,390.91

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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.