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Finding the Fourth Proportional to 8,189.10, 11,301.93 and 5,168.61

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Solution

The fourth proportional to 8,189.10, 11,301.93 and 5,168.61 is: 7,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.10 : 11,301.93 = 5,168.61 : x
  2. Step 2: Convert to fraction form
    8,189.10/11,301.93 = 5,168.61/x
  3. Step 3: Cross multiply
    8,189.10x = 11,301.93 × 5,168.61
  4. Step 4: Simplify right side
    8,189.10x = 58,415,268.42
  5. Step 5: Solve for x
    x = 58,415,268.42/8,189.10
  6. Step 6: Final answer
    x = 7,133.30

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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.