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Finding the Fourth Proportional to 8,219.54, 11,329.34 and 5,826.43

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Solution

The fourth proportional to 8,219.54, 11,329.34 and 5,826.43 is: 8,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.54 : 11,329.34 = 5,826.43 : x
  2. Step 2: Convert to fraction form
    8,219.54/11,329.34 = 5,826.43/x
  3. Step 3: Cross multiply
    8,219.54x = 11,329.34 × 5,826.43
  4. Step 4: Simplify right side
    8,219.54x = 66,009,591.49
  5. Step 5: Solve for x
    x = 66,009,591.49/8,219.54
  6. Step 6: Final answer
    x = 8,030.81

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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.