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Finding the Fourth Proportional to 10,727.66, 14,790.48 and 6,944.15

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Solution

The fourth proportional to 10,727.66, 14,790.48 and 6,944.15 is: 9,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.66 : 14,790.48 = 6,944.15 : x
  2. Step 2: Convert to fraction form
    10,727.66/14,790.48 = 6,944.15/x
  3. Step 3: Cross multiply
    10,727.66x = 14,790.48 × 6,944.15
  4. Step 4: Simplify right side
    10,727.66x = 102,707,311.69
  5. Step 5: Solve for x
    x = 102,707,311.69/10,727.66
  6. Step 6: Final answer
    x = 9,574.06

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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.