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Finding the Fourth Proportional to 11,737.98, 16,197.57 and 6,431.94

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Solution

The fourth proportional to 11,737.98, 16,197.57 and 6,431.94 is: 8,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.98 : 16,197.57 = 6,431.94 : x
  2. Step 2: Convert to fraction form
    11,737.98/16,197.57 = 6,431.94/x
  3. Step 3: Cross multiply
    11,737.98x = 16,197.57 × 6,431.94
  4. Step 4: Simplify right side
    11,737.98x = 104,181,798.39
  5. Step 5: Solve for x
    x = 104,181,798.39/11,737.98
  6. Step 6: Final answer
    x = 8,875.62

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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.