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Finding the Fourth Proportional to 10,673.81, 14,729.60 and 6,197.43

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Solution

The fourth proportional to 10,673.81, 14,729.60 and 6,197.43 is: 8,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.81 : 14,729.60 = 6,197.43 : x
  2. Step 2: Convert to fraction form
    10,673.81/14,729.60 = 6,197.43/x
  3. Step 3: Cross multiply
    10,673.81x = 14,729.60 × 6,197.43
  4. Step 4: Simplify right side
    10,673.81x = 91,285,633.94
  5. Step 5: Solve for x
    x = 91,285,633.94/10,673.81
  6. Step 6: Final answer
    x = 8,552.30

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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.