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Finding the Fourth Proportional to 11,537.88, 15,922.53 and 6,822.24

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Solution

The fourth proportional to 11,537.88, 15,922.53 and 6,822.24 is: 9,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.88 : 15,922.53 = 6,822.24 : x
  2. Step 2: Convert to fraction form
    11,537.88/15,922.53 = 6,822.24/x
  3. Step 3: Cross multiply
    11,537.88x = 15,922.53 × 6,822.24
  4. Step 4: Simplify right side
    11,537.88x = 108,627,321.07
  5. Step 5: Solve for x
    x = 108,627,321.07/11,537.88
  6. Step 6: Final answer
    x = 9,414.84

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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.