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Finding the Fourth Proportional to 7,255.20, 10,883.76 and 2,323.20

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Solution

The fourth proportional to 7,255.20, 10,883.76 and 2,323.20 is: 3,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.20 : 10,883.76 = 2,323.20 : x
  2. Step 2: Convert to fraction form
    7,255.20/10,883.76 = 2,323.20/x
  3. Step 3: Cross multiply
    7,255.20x = 10,883.76 × 2,323.20
  4. Step 4: Simplify right side
    7,255.20x = 25,285,151.23
  5. Step 5: Solve for x
    x = 25,285,151.23/7,255.20
  6. Step 6: Final answer
    x = 3,485.11

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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.