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Finding the Fourth Proportional to 12,382.27, 17,079.66 and 8,410.23

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Solution

The fourth proportional to 12,382.27, 17,079.66 and 8,410.23 is: 11,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.27 : 17,079.66 = 8,410.23 : x
  2. Step 2: Convert to fraction form
    12,382.27/17,079.66 = 8,410.23/x
  3. Step 3: Cross multiply
    12,382.27x = 17,079.66 × 8,410.23
  4. Step 4: Simplify right side
    12,382.27x = 143,643,868.92
  5. Step 5: Solve for x
    x = 143,643,868.92/12,382.27
  6. Step 6: Final answer
    x = 11,600.77

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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.