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Finding the Fourth Proportional to 10,114.09, 15,171.13 and 3,189.13

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Solution

The fourth proportional to 10,114.09, 15,171.13 and 3,189.13 is: 4,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.09 : 15,171.13 = 3,189.13 : x
  2. Step 2: Convert to fraction form
    10,114.09/15,171.13 = 3,189.13/x
  3. Step 3: Cross multiply
    10,114.09x = 15,171.13 × 3,189.13
  4. Step 4: Simplify right side
    10,114.09x = 48,382,629.96
  5. Step 5: Solve for x
    x = 48,382,629.96/10,114.09
  6. Step 6: Final answer
    x = 4,783.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.