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Finding the Fourth Proportional to 11,638.99, 16,061.80 and 6,333.80

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Solution

The fourth proportional to 11,638.99, 16,061.80 and 6,333.80 is: 8,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.99 : 16,061.80 = 6,333.80 : x
  2. Step 2: Convert to fraction form
    11,638.99/16,061.80 = 6,333.80/x
  3. Step 3: Cross multiply
    11,638.99x = 16,061.80 × 6,333.80
  4. Step 4: Simplify right side
    11,638.99x = 101,732,228.84
  5. Step 5: Solve for x
    x = 101,732,228.84/11,638.99
  6. Step 6: Final answer
    x = 8,740.64

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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.