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Finding the Fourth Proportional to 8,024.69, 11,069.33 and 5,035.34

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Solution

The fourth proportional to 8,024.69, 11,069.33 and 5,035.34 is: 6,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.69 : 11,069.33 = 5,035.34 : x
  2. Step 2: Convert to fraction form
    8,024.69/11,069.33 = 5,035.34/x
  3. Step 3: Cross multiply
    8,024.69x = 11,069.33 × 5,035.34
  4. Step 4: Simplify right side
    8,024.69x = 55,737,759.60
  5. Step 5: Solve for x
    x = 55,737,759.60/8,024.69
  6. Step 6: Final answer
    x = 6,945.79

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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.