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Finding the Fourth Proportional to 12,107.34, 18,168 and 5,086.74

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Solution

The fourth proportional to 12,107.34, 18,168 and 5,086.74 is: 7,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.34 : 18,168 = 5,086.74 : x
  2. Step 2: Convert to fraction form
    12,107.34/18,168 = 5,086.74/x
  3. Step 3: Cross multiply
    12,107.34x = 18,168 × 5,086.74
  4. Step 4: Simplify right side
    12,107.34x = 92,415,892.32
  5. Step 5: Solve for x
    x = 92,415,892.32/12,107.34
  6. Step 6: Final answer
    x = 7,633.05

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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.