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Finding the Fourth Proportional to 10,796.34, 16,197.69 and 4,558.98

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Solution

The fourth proportional to 10,796.34, 16,197.69 and 4,558.98 is: 6,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.34 : 16,197.69 = 4,558.98 : x
  2. Step 2: Convert to fraction form
    10,796.34/16,197.69 = 4,558.98/x
  3. Step 3: Cross multiply
    10,796.34x = 16,197.69 × 4,558.98
  4. Step 4: Simplify right side
    10,796.34x = 73,844,944.76
  5. Step 5: Solve for x
    x = 73,844,944.76/10,796.34
  6. Step 6: Final answer
    x = 6,839.81

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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.