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Finding the Fourth Proportional to 8,134.00, 12,181.48 and 4,174.83

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Solution

The fourth proportional to 8,134.00, 12,181.48 and 4,174.83 is: 6,252.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.00 : 12,181.48 = 4,174.83 : x
  2. Step 2: Convert to fraction form
    8,134.00/12,181.48 = 4,174.83/x
  3. Step 3: Cross multiply
    8,134.00x = 12,181.48 × 4,174.83
  4. Step 4: Simplify right side
    8,134.00x = 50,855,597.71
  5. Step 5: Solve for x
    x = 50,855,597.71/8,134.00
  6. Step 6: Final answer
    x = 6,252.23

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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.