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Finding the Fourth Proportional to 11,393.31, 15,729.89 and 8,735.61

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Solution

The fourth proportional to 11,393.31, 15,729.89 and 8,735.61 is: 12,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.31 : 15,729.89 = 8,735.61 : x
  2. Step 2: Convert to fraction form
    11,393.31/15,729.89 = 8,735.61/x
  3. Step 3: Cross multiply
    11,393.31x = 15,729.89 × 8,735.61
  4. Step 4: Simplify right side
    11,393.31x = 137,410,184.38
  5. Step 5: Solve for x
    x = 137,410,184.38/11,393.31
  6. Step 6: Final answer
    x = 12,060.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.