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Finding the Fourth Proportional to 8,342.42, 11,512.31 and 5,154.44

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Solution

The fourth proportional to 8,342.42, 11,512.31 and 5,154.44 is: 7,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.42 : 11,512.31 = 5,154.44 : x
  2. Step 2: Convert to fraction form
    8,342.42/11,512.31 = 5,154.44/x
  3. Step 3: Cross multiply
    8,342.42x = 11,512.31 × 5,154.44
  4. Step 4: Simplify right side
    8,342.42x = 59,339,427.82
  5. Step 5: Solve for x
    x = 59,339,427.82/8,342.42
  6. Step 6: Final answer
    x = 7,112.98

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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.