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Finding the Fourth Proportional to 8,234.04, 11,362.80 and 4,696.92

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Solution

The fourth proportional to 8,234.04, 11,362.80 and 4,696.92 is: 6,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.04 : 11,362.80 = 4,696.92 : x
  2. Step 2: Convert to fraction form
    8,234.04/11,362.80 = 4,696.92/x
  3. Step 3: Cross multiply
    8,234.04x = 11,362.80 × 4,696.92
  4. Step 4: Simplify right side
    8,234.04x = 53,370,162.58
  5. Step 5: Solve for x
    x = 53,370,162.58/8,234.04
  6. Step 6: Final answer
    x = 6,481.65

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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.