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Finding the Fourth Proportional to 10,112.12, 13,954.74 and 5,635.77

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Solution

The fourth proportional to 10,112.12, 13,954.74 and 5,635.77 is: 7,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.12 : 13,954.74 = 5,635.77 : x
  2. Step 2: Convert to fraction form
    10,112.12/13,954.74 = 5,635.77/x
  3. Step 3: Cross multiply
    10,112.12x = 13,954.74 × 5,635.77
  4. Step 4: Simplify right side
    10,112.12x = 78,645,705.05
  5. Step 5: Solve for x
    x = 78,645,705.05/10,112.12
  6. Step 6: Final answer
    x = 7,777.37

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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.