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Finding the Fourth Proportional to 10,066, 13,891.08 and 5,874.28

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Solution

The fourth proportional to 10,066, 13,891.08 and 5,874.28 is: 8,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066 : 13,891.08 = 5,874.28 : x
  2. Step 2: Convert to fraction form
    10,066/13,891.08 = 5,874.28/x
  3. Step 3: Cross multiply
    10,066x = 13,891.08 × 5,874.28
  4. Step 4: Simplify right side
    10,066x = 81,600,093.42
  5. Step 5: Solve for x
    x = 81,600,093.42/10,066
  6. Step 6: Final answer
    x = 8,106.51

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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.