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Finding the Fourth Proportional to 7,201.92, 10,802.52 and 2,271.54

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Solution

The fourth proportional to 7,201.92, 10,802.52 and 2,271.54 is: 3,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.92 : 10,802.52 = 2,271.54 : x
  2. Step 2: Convert to fraction form
    7,201.92/10,802.52 = 2,271.54/x
  3. Step 3: Cross multiply
    7,201.92x = 10,802.52 × 2,271.54
  4. Step 4: Simplify right side
    7,201.92x = 24,538,356.28
  5. Step 5: Solve for x
    x = 24,538,356.28/7,201.92
  6. Step 6: Final answer
    x = 3,407.20

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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.