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Finding the Fourth Proportional to 11,638.84, 16,061.48 and 6,333.64

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Solution

The fourth proportional to 11,638.84, 16,061.48 and 6,333.64 is: 8,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.84 : 16,061.48 = 6,333.64 : x
  2. Step 2: Convert to fraction form
    11,638.84/16,061.48 = 6,333.64/x
  3. Step 3: Cross multiply
    11,638.84x = 16,061.48 × 6,333.64
  4. Step 4: Simplify right side
    11,638.84x = 101,727,632.19
  5. Step 5: Solve for x
    x = 101,727,632.19/11,638.84
  6. Step 6: Final answer
    x = 8,740.36

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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.