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Finding the Fourth Proportional to 11,443.97, 17,168.70 and 4,776.76

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Solution

The fourth proportional to 11,443.97, 17,168.70 and 4,776.76 is: 7,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.97 : 17,168.70 = 4,776.76 : x
  2. Step 2: Convert to fraction form
    11,443.97/17,168.70 = 4,776.76/x
  3. Step 3: Cross multiply
    11,443.97x = 17,168.70 × 4,776.76
  4. Step 4: Simplify right side
    11,443.97x = 82,010,759.41
  5. Step 5: Solve for x
    x = 82,010,759.41/11,443.97
  6. Step 6: Final answer
    x = 7,166.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.