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Finding the Fourth Proportional to 11,304.44, 15,591.82 and 7,767.80

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Solution

The fourth proportional to 11,304.44, 15,591.82 and 7,767.80 is: 10,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.44 : 15,591.82 = 7,767.80 : x
  2. Step 2: Convert to fraction form
    11,304.44/15,591.82 = 7,767.80/x
  3. Step 3: Cross multiply
    11,304.44x = 15,591.82 × 7,767.80
  4. Step 4: Simplify right side
    11,304.44x = 121,114,139.40
  5. Step 5: Solve for x
    x = 121,114,139.40/11,304.44
  6. Step 6: Final answer
    x = 10,713.86

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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.