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Finding the Fourth Proportional to 10,086.36, 13,917.08 and 5,893.80

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Solution

The fourth proportional to 10,086.36, 13,917.08 and 5,893.80 is: 8,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.36 : 13,917.08 = 5,893.80 : x
  2. Step 2: Convert to fraction form
    10,086.36/13,917.08 = 5,893.80/x
  3. Step 3: Cross multiply
    10,086.36x = 13,917.08 × 5,893.80
  4. Step 4: Simplify right side
    10,086.36x = 82,024,486.10
  5. Step 5: Solve for x
    x = 82,024,486.10/10,086.36
  6. Step 6: Final answer
    x = 8,132.22

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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.