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Finding the Fourth Proportional to 10,378.99, 14,322.94 and 5,902.73

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Solution

The fourth proportional to 10,378.99, 14,322.94 and 5,902.73 is: 8,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.99 : 14,322.94 = 5,902.73 : x
  2. Step 2: Convert to fraction form
    10,378.99/14,322.94 = 5,902.73/x
  3. Step 3: Cross multiply
    10,378.99x = 14,322.94 × 5,902.73
  4. Step 4: Simplify right side
    10,378.99x = 84,544,361.25
  5. Step 5: Solve for x
    x = 84,544,361.25/10,378.99
  6. Step 6: Final answer
    x = 8,145.72

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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.