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Finding the Fourth Proportional to 10,077.44, 13,910.28 and 5,889.20

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Solution

The fourth proportional to 10,077.44, 13,910.28 and 5,889.20 is: 8,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.44 : 13,910.28 = 5,889.20 : x
  2. Step 2: Convert to fraction form
    10,077.44/13,910.28 = 5,889.20/x
  3. Step 3: Cross multiply
    10,077.44x = 13,910.28 × 5,889.20
  4. Step 4: Simplify right side
    10,077.44x = 81,920,420.98
  5. Step 5: Solve for x
    x = 81,920,420.98/10,077.44
  6. Step 6: Final answer
    x = 8,129.09

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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.