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Finding the Fourth Proportional to 10,361.25, 14,299.88 and 6,169.50

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Solution

The fourth proportional to 10,361.25, 14,299.88 and 6,169.50 is: 8,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.25 : 14,299.88 = 6,169.50 : x
  2. Step 2: Convert to fraction form
    10,361.25/14,299.88 = 6,169.50/x
  3. Step 3: Cross multiply
    10,361.25x = 14,299.88 × 6,169.50
  4. Step 4: Simplify right side
    10,361.25x = 88,223,078.81
  5. Step 5: Solve for x
    x = 88,223,078.81/10,361.25
  6. Step 6: Final answer
    x = 8,514.71

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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.