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Finding the Fourth Proportional to 7,755.37, 11,614.48 and 4,240.10

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Solution

The fourth proportional to 7,755.37, 11,614.48 and 4,240.10 is: 6,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.37 : 11,614.48 = 4,240.10 : x
  2. Step 2: Convert to fraction form
    7,755.37/11,614.48 = 4,240.10/x
  3. Step 3: Cross multiply
    7,755.37x = 11,614.48 × 4,240.10
  4. Step 4: Simplify right side
    7,755.37x = 49,246,556.65
  5. Step 5: Solve for x
    x = 49,246,556.65/7,755.37
  6. Step 6: Final answer
    x = 6,349.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.