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Finding the Fourth Proportional to 11,809.71, 16,292.75 and 6,772.86

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Solution

The fourth proportional to 11,809.71, 16,292.75 and 6,772.86 is: 9,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.71 : 16,292.75 = 6,772.86 : x
  2. Step 2: Convert to fraction form
    11,809.71/16,292.75 = 6,772.86/x
  3. Step 3: Cross multiply
    11,809.71x = 16,292.75 × 6,772.86
  4. Step 4: Simplify right side
    11,809.71x = 110,348,480.90
  5. Step 5: Solve for x
    x = 110,348,480.90/11,809.71
  6. Step 6: Final answer
    x = 9,343.88

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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.