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Finding the Fourth Proportional to 10,019.28, 13,826.31 and 5,543.22

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Solution

The fourth proportional to 10,019.28, 13,826.31 and 5,543.22 is: 7,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.28 : 13,826.31 = 5,543.22 : x
  2. Step 2: Convert to fraction form
    10,019.28/13,826.31 = 5,543.22/x
  3. Step 3: Cross multiply
    10,019.28x = 13,826.31 × 5,543.22
  4. Step 4: Simplify right side
    10,019.28x = 76,642,278.12
  5. Step 5: Solve for x
    x = 76,642,278.12/10,019.28
  6. Step 6: Final answer
    x = 7,649.48

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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.