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Finding the Fourth Proportional to 10,727.73, 14,804.24 and 6,012.05

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Solution

The fourth proportional to 10,727.73, 14,804.24 and 6,012.05 is: 8,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.73 : 14,804.24 = 6,012.05 : x
  2. Step 2: Convert to fraction form
    10,727.73/14,804.24 = 6,012.05/x
  3. Step 3: Cross multiply
    10,727.73x = 14,804.24 × 6,012.05
  4. Step 4: Simplify right side
    10,727.73x = 89,003,727.01
  5. Step 5: Solve for x
    x = 89,003,727.01/10,727.73
  6. Step 6: Final answer
    x = 8,296.60

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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.