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Finding the Fourth Proportional to 27,174.79, 40,762.21 and 7,453.50

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Solution

The fourth proportional to 27,174.79, 40,762.21 and 7,453.50 is: 11,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.79 : 40,762.21 = 7,453.50 : x
  2. Step 2: Convert to fraction form
    27,174.79/40,762.21 = 7,453.50/x
  3. Step 3: Cross multiply
    27,174.79x = 40,762.21 × 7,453.50
  4. Step 4: Simplify right side
    27,174.79x = 303,821,132.24
  5. Step 5: Solve for x
    x = 303,821,132.24/27,174.79
  6. Step 6: Final answer
    x = 11,180.26

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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.