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Finding the Fourth Proportional to 11,638.77, 16,061.86 and 6,333.94

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Solution

The fourth proportional to 11,638.77, 16,061.86 and 6,333.94 is: 8,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.77 : 16,061.86 = 6,333.94 : x
  2. Step 2: Convert to fraction form
    11,638.77/16,061.86 = 6,333.94/x
  3. Step 3: Cross multiply
    11,638.77x = 16,061.86 × 6,333.94
  4. Step 4: Simplify right side
    11,638.77x = 101,734,857.53
  5. Step 5: Solve for x
    x = 101,734,857.53/11,638.77
  6. Step 6: Final answer
    x = 8,741.03

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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.