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Finding the Fourth Proportional to 7,144.48, 9,859.60 and 4,000.80

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Solution

The fourth proportional to 7,144.48, 9,859.60 and 4,000.80 is: 5,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.48 : 9,859.60 = 4,000.80 : x
  2. Step 2: Convert to fraction form
    7,144.48/9,859.60 = 4,000.80/x
  3. Step 3: Cross multiply
    7,144.48x = 9,859.60 × 4,000.80
  4. Step 4: Simplify right side
    7,144.48x = 39,446,287.68
  5. Step 5: Solve for x
    x = 39,446,287.68/7,144.48
  6. Step 6: Final answer
    x = 5,521.23

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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.