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Finding the Fourth Proportional to 7,240.72, 9,983.20 and 6,103.48

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Solution

The fourth proportional to 7,240.72, 9,983.20 and 6,103.48 is: 8,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.72 : 9,983.20 = 6,103.48 : x
  2. Step 2: Convert to fraction form
    7,240.72/9,983.20 = 6,103.48/x
  3. Step 3: Cross multiply
    7,240.72x = 9,983.20 × 6,103.48
  4. Step 4: Simplify right side
    7,240.72x = 60,932,261.54
  5. Step 5: Solve for x
    x = 60,932,261.54/7,240.72
  6. Step 6: Final answer
    x = 8,415.22

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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.