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Finding the Fourth Proportional to 11,443.17, 15,794.70 and 6,728.97

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Solution

The fourth proportional to 11,443.17, 15,794.70 and 6,728.97 is: 9,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.17 : 15,794.70 = 6,728.97 : x
  2. Step 2: Convert to fraction form
    11,443.17/15,794.70 = 6,728.97/x
  3. Step 3: Cross multiply
    11,443.17x = 15,794.70 × 6,728.97
  4. Step 4: Simplify right side
    11,443.17x = 106,282,062.46
  5. Step 5: Solve for x
    x = 106,282,062.46/11,443.17
  6. Step 6: Final answer
    x = 9,287.82

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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.