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Finding the Fourth Proportional to 11,422.70, 17,120.34 and 5,878.66

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Solution

The fourth proportional to 11,422.70, 17,120.34 and 5,878.66 is: 8,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.70 : 17,120.34 = 5,878.66 : x
  2. Step 2: Convert to fraction form
    11,422.70/17,120.34 = 5,878.66/x
  3. Step 3: Cross multiply
    11,422.70x = 17,120.34 × 5,878.66
  4. Step 4: Simplify right side
    11,422.70x = 100,644,657.94
  5. Step 5: Solve for x
    x = 100,644,657.94/11,422.70
  6. Step 6: Final answer
    x = 8,810.93

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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.