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Finding the Fourth Proportional to 7,255.20, 10,012.20 and 4,111.60

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Solution

The fourth proportional to 7,255.20, 10,012.20 and 4,111.60 is: 5,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.20 : 10,012.20 = 4,111.60 : x
  2. Step 2: Convert to fraction form
    7,255.20/10,012.20 = 4,111.60/x
  3. Step 3: Cross multiply
    7,255.20x = 10,012.20 × 4,111.60
  4. Step 4: Simplify right side
    7,255.20x = 41,166,161.52
  5. Step 5: Solve for x
    x = 41,166,161.52/7,255.20
  6. Step 6: Final answer
    x = 5,674.02

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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.