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Finding the Fourth Proportional to 8,022.72, 12,034.80 and 4,129.86

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Solution

The fourth proportional to 8,022.72, 12,034.80 and 4,129.86 is: 6,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.72 : 12,034.80 = 4,129.86 : x
  2. Step 2: Convert to fraction form
    8,022.72/12,034.80 = 4,129.86/x
  3. Step 3: Cross multiply
    8,022.72x = 12,034.80 × 4,129.86
  4. Step 4: Simplify right side
    8,022.72x = 49,702,039.13
  5. Step 5: Solve for x
    x = 49,702,039.13/8,022.72
  6. Step 6: Final answer
    x = 6,195.16

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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.