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Finding the Fourth Proportional to 11,638.71, 16,061.43 and 6,333.56

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Solution

The fourth proportional to 11,638.71, 16,061.43 and 6,333.56 is: 8,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.71 : 16,061.43 = 6,333.56 : x
  2. Step 2: Convert to fraction form
    11,638.71/16,061.43 = 6,333.56/x
  3. Step 3: Cross multiply
    11,638.71x = 16,061.43 × 6,333.56
  4. Step 4: Simplify right side
    11,638.71x = 101,725,950.28
  5. Step 5: Solve for x
    x = 101,725,950.28/11,638.71
  6. Step 6: Final answer
    x = 8,740.31

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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.