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Finding the Fourth Proportional to 8,035.20, 12,096 and 7,309.44

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Solution

The fourth proportional to 8,035.20, 12,096 and 7,309.44 is: 11,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.20 : 12,096 = 7,309.44 : x
  2. Step 2: Convert to fraction form
    8,035.20/12,096 = 7,309.44/x
  3. Step 3: Cross multiply
    8,035.20x = 12,096 × 7,309.44
  4. Step 4: Simplify right side
    8,035.20x = 88,414,986.24
  5. Step 5: Solve for x
    x = 88,414,986.24/8,035.20
  6. Step 6: Final answer
    x = 11,003.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.