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Finding the Fourth Proportional to 8,290.65, 11,436.81 and 5,141.37

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Solution

The fourth proportional to 8,290.65, 11,436.81 and 5,141.37 is: 7,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.65 : 11,436.81 = 5,141.37 : x
  2. Step 2: Convert to fraction form
    8,290.65/11,436.81 = 5,141.37/x
  3. Step 3: Cross multiply
    8,290.65x = 11,436.81 × 5,141.37
  4. Step 4: Simplify right side
    8,290.65x = 58,800,814.65
  5. Step 5: Solve for x
    x = 58,800,814.65/8,290.65
  6. Step 6: Final answer
    x = 7,092.43

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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.