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Finding the Fourth Proportional to 10,361.84, 14,293.41 and 6,380.12

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Solution

The fourth proportional to 10,361.84, 14,293.41 and 6,380.12 is: 8,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.84 : 14,293.41 = 6,380.12 : x
  2. Step 2: Convert to fraction form
    10,361.84/14,293.41 = 6,380.12/x
  3. Step 3: Cross multiply
    10,361.84x = 14,293.41 × 6,380.12
  4. Step 4: Simplify right side
    10,361.84x = 91,193,599.54
  5. Step 5: Solve for x
    x = 91,193,599.54/10,361.84
  6. Step 6: Final answer
    x = 8,800.91

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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.