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Finding the Fourth Proportional to 11,638.69, 16,061.36 and 6,333.50

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Solution

The fourth proportional to 11,638.69, 16,061.36 and 6,333.50 is: 8,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.69 : 16,061.36 = 6,333.50 : x
  2. Step 2: Convert to fraction form
    11,638.69/16,061.36 = 6,333.50/x
  3. Step 3: Cross multiply
    11,638.69x = 16,061.36 × 6,333.50
  4. Step 4: Simplify right side
    11,638.69x = 101,724,623.56
  5. Step 5: Solve for x
    x = 101,724,623.56/11,638.69
  6. Step 6: Final answer
    x = 8,740.21

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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.