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Finding the Fourth Proportional to 10,589.40, 15,884.22 and 3,193.98

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Solution

The fourth proportional to 10,589.40, 15,884.22 and 3,193.98 is: 4,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.40 : 15,884.22 = 3,193.98 : x
  2. Step 2: Convert to fraction form
    10,589.40/15,884.22 = 3,193.98/x
  3. Step 3: Cross multiply
    10,589.40x = 15,884.22 × 3,193.98
  4. Step 4: Simplify right side
    10,589.40x = 50,733,881.00
  5. Step 5: Solve for x
    x = 50,733,881.00/10,589.40
  6. Step 6: Final answer
    x = 4,791.01

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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.