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Finding the Fourth Proportional to 7,201.79, 10,802.68 and 2,271.92

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Solution

The fourth proportional to 7,201.79, 10,802.68 and 2,271.92 is: 3,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.79 : 10,802.68 = 2,271.92 : x
  2. Step 2: Convert to fraction form
    7,201.79/10,802.68 = 2,271.92/x
  3. Step 3: Cross multiply
    7,201.79x = 10,802.68 × 2,271.92
  4. Step 4: Simplify right side
    7,201.79x = 24,542,846.07
  5. Step 5: Solve for x
    x = 24,542,846.07/7,201.79
  6. Step 6: Final answer
    x = 3,407.88

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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.