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Finding the Fourth Proportional to 7,227.22, 10,843.02 and 3,430.78

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Solution

The fourth proportional to 7,227.22, 10,843.02 and 3,430.78 is: 5,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.22 : 10,843.02 = 3,430.78 : x
  2. Step 2: Convert to fraction form
    7,227.22/10,843.02 = 3,430.78/x
  3. Step 3: Cross multiply
    7,227.22x = 10,843.02 × 3,430.78
  4. Step 4: Simplify right side
    7,227.22x = 37,199,980.47
  5. Step 5: Solve for x
    x = 37,199,980.47/7,227.22
  6. Step 6: Final answer
    x = 5,147.20

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