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Finding the Fourth Proportional to 10,673.37, 14,729.46 and 6,195.50

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Solution

The fourth proportional to 10,673.37, 14,729.46 and 6,195.50 is: 8,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.37 : 14,729.46 = 6,195.50 : x
  2. Step 2: Convert to fraction form
    10,673.37/14,729.46 = 6,195.50/x
  3. Step 3: Cross multiply
    10,673.37x = 14,729.46 × 6,195.50
  4. Step 4: Simplify right side
    10,673.37x = 91,256,295.78
  5. Step 5: Solve for x
    x = 91,256,295.78/10,673.37
  6. Step 6: Final answer
    x = 8,549.90

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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.