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Finding the Fourth Proportional to 10,066.14, 13,891.01 and 5,589.77

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Solution

The fourth proportional to 10,066.14, 13,891.01 and 5,589.77 is: 7,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.14 : 13,891.01 = 5,589.77 : x
  2. Step 2: Convert to fraction form
    10,066.14/13,891.01 = 5,589.77/x
  3. Step 3: Cross multiply
    10,066.14x = 13,891.01 × 5,589.77
  4. Step 4: Simplify right side
    10,066.14x = 77,647,557.75
  5. Step 5: Solve for x
    x = 77,647,557.75/10,066.14
  6. Step 6: Final answer
    x = 7,713.74

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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.