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Finding the Fourth Proportional to 10,140.44, 13,988.94 and 6,361.70

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Solution

The fourth proportional to 10,140.44, 13,988.94 and 6,361.70 is: 8,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.44 : 13,988.94 = 6,361.70 : x
  2. Step 2: Convert to fraction form
    10,140.44/13,988.94 = 6,361.70/x
  3. Step 3: Cross multiply
    10,140.44x = 13,988.94 × 6,361.70
  4. Step 4: Simplify right side
    10,140.44x = 88,993,439.60
  5. Step 5: Solve for x
    x = 88,993,439.60/10,140.44
  6. Step 6: Final answer
    x = 8,776.09

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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.