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Finding the Fourth Proportional to 10,171.55, 14,036.11 and 5,694.54

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Solution

The fourth proportional to 10,171.55, 14,036.11 and 5,694.54 is: 7,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.55 : 14,036.11 = 5,694.54 : x
  2. Step 2: Convert to fraction form
    10,171.55/14,036.11 = 5,694.54/x
  3. Step 3: Cross multiply
    10,171.55x = 14,036.11 × 5,694.54
  4. Step 4: Simplify right side
    10,171.55x = 79,929,175.60
  5. Step 5: Solve for x
    x = 79,929,175.60/10,171.55
  6. Step 6: Final answer
    x = 7,858.12

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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.