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Finding the Fourth Proportional to 11,297.96, 16,937.70 and 4,273.98

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Solution

The fourth proportional to 11,297.96, 16,937.70 and 4,273.98 is: 6,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.96 : 16,937.70 = 4,273.98 : x
  2. Step 2: Convert to fraction form
    11,297.96/16,937.70 = 4,273.98/x
  3. Step 3: Cross multiply
    11,297.96x = 16,937.70 × 4,273.98
  4. Step 4: Simplify right side
    11,297.96x = 72,391,391.05
  5. Step 5: Solve for x
    x = 72,391,391.05/11,297.96
  6. Step 6: Final answer
    x = 6,407.47

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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.