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Finding the Fourth Proportional to 10,198.37, 14,073.97 and 5,722.45

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Solution

The fourth proportional to 10,198.37, 14,073.97 and 5,722.45 is: 7,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.37 : 14,073.97 = 5,722.45 : x
  2. Step 2: Convert to fraction form
    10,198.37/14,073.97 = 5,722.45/x
  3. Step 3: Cross multiply
    10,198.37x = 14,073.97 × 5,722.45
  4. Step 4: Simplify right side
    10,198.37x = 80,537,490.64
  5. Step 5: Solve for x
    x = 80,537,490.64/10,198.37
  6. Step 6: Final answer
    x = 7,897.09

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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.