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Finding the Fourth Proportional to 6,974.37, 10,502.80 and 5,040.09

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Solution

The fourth proportional to 6,974.37, 10,502.80 and 5,040.09 is: 7,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.37 : 10,502.80 = 5,040.09 : x
  2. Step 2: Convert to fraction form
    6,974.37/10,502.80 = 5,040.09/x
  3. Step 3: Cross multiply
    6,974.37x = 10,502.80 × 5,040.09
  4. Step 4: Simplify right side
    6,974.37x = 52,935,044.65
  5. Step 5: Solve for x
    x = 52,935,044.65/6,974.37
  6. Step 6: Final answer
    x = 7,589.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.