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Finding the Fourth Proportional to 10,729.39, 14,807.42 and 5,949.80

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Solution

The fourth proportional to 10,729.39, 14,807.42 and 5,949.80 is: 8,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.39 : 14,807.42 = 5,949.80 : x
  2. Step 2: Convert to fraction form
    10,729.39/14,807.42 = 5,949.80/x
  3. Step 3: Cross multiply
    10,729.39x = 14,807.42 × 5,949.80
  4. Step 4: Simplify right side
    10,729.39x = 88,101,278.33
  5. Step 5: Solve for x
    x = 88,101,278.33/10,729.39
  6. Step 6: Final answer
    x = 8,211.21

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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.