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Finding the Fourth Proportional to 10,735.20, 16,110.36 and 9,817.20

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Solution

The fourth proportional to 10,735.20, 16,110.36 and 9,817.20 is: 14,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.20 : 16,110.36 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    10,735.20/16,110.36 = 9,817.20/x
  3. Step 3: Cross multiply
    10,735.20x = 16,110.36 × 9,817.20
  4. Step 4: Simplify right side
    10,735.20x = 158,158,626.19
  5. Step 5: Solve for x
    x = 158,158,626.19/10,735.20
  6. Step 6: Final answer
    x = 14,732.71

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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.