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Finding the Fourth Proportional to 10,810.36, 16,183.94 and 9,772.75

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Solution

The fourth proportional to 10,810.36, 16,183.94 and 9,772.75 is: 14,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.36 : 16,183.94 = 9,772.75 : x
  2. Step 2: Convert to fraction form
    10,810.36/16,183.94 = 9,772.75/x
  3. Step 3: Cross multiply
    10,810.36x = 16,183.94 × 9,772.75
  4. Step 4: Simplify right side
    10,810.36x = 158,161,518.72
  5. Step 5: Solve for x
    x = 158,161,518.72/10,810.36
  6. Step 6: Final answer
    x = 14,630.56

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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.