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Finding the Fourth Proportional to 11,701.97, 16,148.41 and 6,922.16

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Solution

The fourth proportional to 11,701.97, 16,148.41 and 6,922.16 is: 9,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 16,148.41 = 6,922.16 : x
  2. Step 2: Convert to fraction form
    11,701.97/16,148.41 = 6,922.16/x
  3. Step 3: Cross multiply
    11,701.97x = 16,148.41 × 6,922.16
  4. Step 4: Simplify right side
    11,701.97x = 111,781,879.21
  5. Step 5: Solve for x
    x = 111,781,879.21/11,701.97
  6. Step 6: Final answer
    x = 9,552.40

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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.