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Finding the Fourth Proportional to 10,729.37, 14,806.50 and 6,013.64

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Solution

The fourth proportional to 10,729.37, 14,806.50 and 6,013.64 is: 8,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.37 : 14,806.50 = 6,013.64 : x
  2. Step 2: Convert to fraction form
    10,729.37/14,806.50 = 6,013.64/x
  3. Step 3: Cross multiply
    10,729.37x = 14,806.50 × 6,013.64
  4. Step 4: Simplify right side
    10,729.37x = 89,040,960.66
  5. Step 5: Solve for x
    x = 89,040,960.66/10,729.37
  6. Step 6: Final answer
    x = 8,298.81

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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.