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Finding the Fourth Proportional to 7,148.38, 10,721.30 and 2,762.22

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Solution

The fourth proportional to 7,148.38, 10,721.30 and 2,762.22 is: 4,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.38 : 10,721.30 = 2,762.22 : x
  2. Step 2: Convert to fraction form
    7,148.38/10,721.30 = 2,762.22/x
  3. Step 3: Cross multiply
    7,148.38x = 10,721.30 × 2,762.22
  4. Step 4: Simplify right side
    7,148.38x = 29,614,589.29
  5. Step 5: Solve for x
    x = 29,614,589.29/7,148.38
  6. Step 6: Final answer
    x = 4,142.84

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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.