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Finding the Fourth Proportional to 11,422.80, 17,130.84 and 5,179.20

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Solution

The fourth proportional to 11,422.80, 17,130.84 and 5,179.20 is: 7,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.80 : 17,130.84 = 5,179.20 : x
  2. Step 2: Convert to fraction form
    11,422.80/17,130.84 = 5,179.20/x
  3. Step 3: Cross multiply
    11,422.80x = 17,130.84 × 5,179.20
  4. Step 4: Simplify right side
    11,422.80x = 88,724,046.53
  5. Step 5: Solve for x
    x = 88,724,046.53/11,422.80
  6. Step 6: Final answer
    x = 7,767.28

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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.