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Finding the Fourth Proportional to 8,098.04, 12,141.86 and 3,416.77

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Solution

The fourth proportional to 8,098.04, 12,141.86 and 3,416.77 is: 5,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.04 : 12,141.86 = 3,416.77 : x
  2. Step 2: Convert to fraction form
    8,098.04/12,141.86 = 3,416.77/x
  3. Step 3: Cross multiply
    8,098.04x = 12,141.86 × 3,416.77
  4. Step 4: Simplify right side
    8,098.04x = 41,485,872.79
  5. Step 5: Solve for x
    x = 41,485,872.79/8,098.04
  6. Step 6: Final answer
    x = 5,122.95

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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.