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Finding the Fourth Proportional to 10,026.54, 13,838.31 and 5,837.22

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Solution

The fourth proportional to 10,026.54, 13,838.31 and 5,837.22 is: 8,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.54 : 13,838.31 = 5,837.22 : x
  2. Step 2: Convert to fraction form
    10,026.54/13,838.31 = 5,837.22/x
  3. Step 3: Cross multiply
    10,026.54x = 13,838.31 × 5,837.22
  4. Step 4: Simplify right side
    10,026.54x = 80,777,259.90
  5. Step 5: Solve for x
    x = 80,777,259.90/10,026.54
  6. Step 6: Final answer
    x = 8,056.34

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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.