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Finding the Fourth Proportional to 11,974.15, 16,531.77 and 7,727.32

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Solution

The fourth proportional to 11,974.15, 16,531.77 and 7,727.32 is: 10,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.15 : 16,531.77 = 7,727.32 : x
  2. Step 2: Convert to fraction form
    11,974.15/16,531.77 = 7,727.32/x
  3. Step 3: Cross multiply
    11,974.15x = 16,531.77 × 7,727.32
  4. Step 4: Simplify right side
    11,974.15x = 127,746,276.96
  5. Step 5: Solve for x
    x = 127,746,276.96/11,974.15
  6. Step 6: Final answer
    x = 10,668.50

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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.