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Finding the Fourth Proportional to 8,238.29, 12,362.29 and 3,047.81

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Solution

The fourth proportional to 8,238.29, 12,362.29 and 3,047.81 is: 4,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.29 : 12,362.29 = 3,047.81 : x
  2. Step 2: Convert to fraction form
    8,238.29/12,362.29 = 3,047.81/x
  3. Step 3: Cross multiply
    8,238.29x = 12,362.29 × 3,047.81
  4. Step 4: Simplify right side
    8,238.29x = 37,677,841.65
  5. Step 5: Solve for x
    x = 37,677,841.65/8,238.29
  6. Step 6: Final answer
    x = 4,573.51

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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.