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Finding the Fourth Proportional to 10,096.37, 13,932.81 and 5,619.99

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Solution

The fourth proportional to 10,096.37, 13,932.81 and 5,619.99 is: 7,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.37 : 13,932.81 = 5,619.99 : x
  2. Step 2: Convert to fraction form
    10,096.37/13,932.81 = 5,619.99/x
  3. Step 3: Cross multiply
    10,096.37x = 13,932.81 × 5,619.99
  4. Step 4: Simplify right side
    10,096.37x = 78,302,252.87
  5. Step 5: Solve for x
    x = 78,302,252.87/10,096.37
  6. Step 6: Final answer
    x = 7,755.49

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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.