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Finding the Fourth Proportional to 8,138.41, 11,231.84 and 4,951.93

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Solution

The fourth proportional to 8,138.41, 11,231.84 and 4,951.93 is: 6,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.41 : 11,231.84 = 4,951.93 : x
  2. Step 2: Convert to fraction form
    8,138.41/11,231.84 = 4,951.93/x
  3. Step 3: Cross multiply
    8,138.41x = 11,231.84 × 4,951.93
  4. Step 4: Simplify right side
    8,138.41x = 55,619,232.61
  5. Step 5: Solve for x
    x = 55,619,232.61/8,138.41
  6. Step 6: Final answer
    x = 6,834.17

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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.