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Finding the Fourth Proportional to 11,737.06, 16,197.24 and 6,431.98

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Solution

The fourth proportional to 11,737.06, 16,197.24 and 6,431.98 is: 8,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.06 : 16,197.24 = 6,431.98 : x
  2. Step 2: Convert to fraction form
    11,737.06/16,197.24 = 6,431.98/x
  3. Step 3: Cross multiply
    11,737.06x = 16,197.24 × 6,431.98
  4. Step 4: Simplify right side
    11,737.06x = 104,180,323.74
  5. Step 5: Solve for x
    x = 104,180,323.74/11,737.06
  6. Step 6: Final answer
    x = 8,876.19

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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.