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Finding the Fourth Proportional to 11,638.82, 16,061.90 and 6,333.98

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Solution

The fourth proportional to 11,638.82, 16,061.90 and 6,333.98 is: 8,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.82 : 16,061.90 = 6,333.98 : x
  2. Step 2: Convert to fraction form
    11,638.82/16,061.90 = 6,333.98/x
  3. Step 3: Cross multiply
    11,638.82x = 16,061.90 × 6,333.98
  4. Step 4: Simplify right side
    11,638.82x = 101,735,688.89
  5. Step 5: Solve for x
    x = 101,735,688.89/11,638.82
  6. Step 6: Final answer
    x = 8,741.07

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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.