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Finding the Fourth Proportional to 11,638.68, 16,061.46 and 6,333.54

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Solution

The fourth proportional to 11,638.68, 16,061.46 and 6,333.54 is: 8,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.68 : 16,061.46 = 6,333.54 : x
  2. Step 2: Convert to fraction form
    11,638.68/16,061.46 = 6,333.54/x
  3. Step 3: Cross multiply
    11,638.68x = 16,061.46 × 6,333.54
  4. Step 4: Simplify right side
    11,638.68x = 101,725,899.37
  5. Step 5: Solve for x
    x = 101,725,899.37/11,638.68
  6. Step 6: Final answer
    x = 8,740.33

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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.