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Finding the Fourth Proportional to 8,138.76, 11,231.55 and 4,601.22

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Solution

The fourth proportional to 8,138.76, 11,231.55 and 4,601.22 is: 6,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.76 : 11,231.55 = 4,601.22 : x
  2. Step 2: Convert to fraction form
    8,138.76/11,231.55 = 4,601.22/x
  3. Step 3: Cross multiply
    8,138.76x = 11,231.55 × 4,601.22
  4. Step 4: Simplify right side
    8,138.76x = 51,678,832.49
  5. Step 5: Solve for x
    x = 51,678,832.49/8,138.76
  6. Step 6: Final answer
    x = 6,349.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.