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Finding the Fourth Proportional to 10,735.22, 16,105.39 and 4,491.74

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Solution

The fourth proportional to 10,735.22, 16,105.39 and 4,491.74 is: 6,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.22 : 16,105.39 = 4,491.74 : x
  2. Step 2: Convert to fraction form
    10,735.22/16,105.39 = 4,491.74/x
  3. Step 3: Cross multiply
    10,735.22x = 16,105.39 × 4,491.74
  4. Step 4: Simplify right side
    10,735.22x = 72,341,224.48
  5. Step 5: Solve for x
    x = 72,341,224.48/10,735.22
  6. Step 6: Final answer
    x = 6,738.68

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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.