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Finding the Fourth Proportional to 11,636.98, 16,059.11 and 6,331.84

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Solution

The fourth proportional to 11,636.98, 16,059.11 and 6,331.84 is: 8,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.98 : 16,059.11 = 6,331.84 : x
  2. Step 2: Convert to fraction form
    11,636.98/16,059.11 = 6,331.84/x
  3. Step 3: Cross multiply
    11,636.98x = 16,059.11 × 6,331.84
  4. Step 4: Simplify right side
    11,636.98x = 101,683,603.11
  5. Step 5: Solve for x
    x = 101,683,603.11/11,636.98
  6. Step 6: Final answer
    x = 8,737.97

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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.