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Finding the Fourth Proportional to 8,378.82, 11,562.37 and 5,023.48

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Solution

The fourth proportional to 8,378.82, 11,562.37 and 5,023.48 is: 6,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.82 : 11,562.37 = 5,023.48 : x
  2. Step 2: Convert to fraction form
    8,378.82/11,562.37 = 5,023.48/x
  3. Step 3: Cross multiply
    8,378.82x = 11,562.37 × 5,023.48
  4. Step 4: Simplify right side
    8,378.82x = 58,083,334.45
  5. Step 5: Solve for x
    x = 58,083,334.45/8,378.82
  6. Step 6: Final answer
    x = 6,932.16

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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.