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Finding the Fourth Proportional to 8,024.28, 11,074.05 and 4,487.82

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Solution

The fourth proportional to 8,024.28, 11,074.05 and 4,487.82 is: 6,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.28 : 11,074.05 = 4,487.82 : x
  2. Step 2: Convert to fraction form
    8,024.28/11,074.05 = 4,487.82/x
  3. Step 3: Cross multiply
    8,024.28x = 11,074.05 × 4,487.82
  4. Step 4: Simplify right side
    8,024.28x = 49,698,343.07
  5. Step 5: Solve for x
    x = 49,698,343.07/8,024.28
  6. Step 6: Final answer
    x = 6,193.50

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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.