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Finding the Fourth Proportional to 8,234.82, 11,364.04 and 4,508.82

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Solution

The fourth proportional to 8,234.82, 11,364.04 and 4,508.82 is: 6,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.82 : 11,364.04 = 4,508.82 : x
  2. Step 2: Convert to fraction form
    8,234.82/11,364.04 = 4,508.82/x
  3. Step 3: Cross multiply
    8,234.82x = 11,364.04 × 4,508.82
  4. Step 4: Simplify right side
    8,234.82x = 51,238,410.83
  5. Step 5: Solve for x
    x = 51,238,410.83/8,234.82
  6. Step 6: Final answer
    x = 6,222.17

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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.