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Finding the Fourth Proportional to 10,186.47, 14,059.04 and 5,938.20

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Solution

The fourth proportional to 10,186.47, 14,059.04 and 5,938.20 is: 8,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.47 : 14,059.04 = 5,938.20 : x
  2. Step 2: Convert to fraction form
    10,186.47/14,059.04 = 5,938.20/x
  3. Step 3: Cross multiply
    10,186.47x = 14,059.04 × 5,938.20
  4. Step 4: Simplify right side
    10,186.47x = 83,485,361.64
  5. Step 5: Solve for x
    x = 83,485,361.64/10,186.47
  6. Step 6: Final answer
    x = 8,195.71

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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.