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Finding the Fourth Proportional to 10,327.19, 14,251.49 and 5,611.49

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Solution

The fourth proportional to 10,327.19, 14,251.49 and 5,611.49 is: 7,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.19 : 14,251.49 = 5,611.49 : x
  2. Step 2: Convert to fraction form
    10,327.19/14,251.49 = 5,611.49/x
  3. Step 3: Cross multiply
    10,327.19x = 14,251.49 × 5,611.49
  4. Step 4: Simplify right side
    10,327.19x = 79,972,036.39
  5. Step 5: Solve for x
    x = 79,972,036.39/10,327.19
  6. Step 6: Final answer
    x = 7,743.84

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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.