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Finding the Fourth Proportional to 11,638.86, 16,061.64 and 6,333.67

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Solution

The fourth proportional to 11,638.86, 16,061.64 and 6,333.67 is: 8,740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.86 : 16,061.64 = 6,333.67 : x
  2. Step 2: Convert to fraction form
    11,638.86/16,061.64 = 6,333.67/x
  3. Step 3: Cross multiply
    11,638.86x = 16,061.64 × 6,333.67
  4. Step 4: Simplify right side
    11,638.86x = 101,729,124.94
  5. Step 5: Solve for x
    x = 101,729,124.94/11,638.86
  6. Step 6: Final answer
    x = 8,740.48

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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.