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Finding the Fourth Proportional to 11,539.12, 15,923.12 and 6,822.48

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Solution

The fourth proportional to 11,539.12, 15,923.12 and 6,822.48 is: 9,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.12 : 15,923.12 = 6,822.48 : x
  2. Step 2: Convert to fraction form
    11,539.12/15,923.12 = 6,822.48/x
  3. Step 3: Cross multiply
    11,539.12x = 15,923.12 × 6,822.48
  4. Step 4: Simplify right side
    11,539.12x = 108,635,167.74
  5. Step 5: Solve for x
    x = 108,635,167.74/11,539.12
  6. Step 6: Final answer
    x = 9,414.51

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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.