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Finding the Fourth Proportional to 10,361.84, 14,299.46 and 6,169.28

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Solution

The fourth proportional to 10,361.84, 14,299.46 and 6,169.28 is: 8,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.84 : 14,299.46 = 6,169.28 : x
  2. Step 2: Convert to fraction form
    10,361.84/14,299.46 = 6,169.28/x
  3. Step 3: Cross multiply
    10,361.84x = 14,299.46 × 6,169.28
  4. Step 4: Simplify right side
    10,361.84x = 88,217,372.59
  5. Step 5: Solve for x
    x = 88,217,372.59/10,361.84
  6. Step 6: Final answer
    x = 8,513.68

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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.