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Finding the Fourth Proportional to 11,012.36, 15,194.94 and 6,295.64

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Solution

The fourth proportional to 11,012.36, 15,194.94 and 6,295.64 is: 8,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,012.36 : 15,194.94 = 6,295.64 : x
  2. Step 2: Convert to fraction form
    11,012.36/15,194.94 = 6,295.64/x
  3. Step 3: Cross multiply
    11,012.36x = 15,194.94 × 6,295.64
  4. Step 4: Simplify right side
    11,012.36x = 95,661,872.06
  5. Step 5: Solve for x
    x = 95,661,872.06/11,012.36
  6. Step 6: Final answer
    x = 8,686.77

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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.