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Finding the Fourth Proportional to 11,627.49, 16,045.85 and 6,322.31

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Solution

The fourth proportional to 11,627.49, 16,045.85 and 6,322.31 is: 8,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.49 : 16,045.85 = 6,322.31 : x
  2. Step 2: Convert to fraction form
    11,627.49/16,045.85 = 6,322.31/x
  3. Step 3: Cross multiply
    11,627.49x = 16,045.85 × 6,322.31
  4. Step 4: Simplify right side
    11,627.49x = 101,446,757.68
  5. Step 5: Solve for x
    x = 101,446,757.68/11,627.49
  6. Step 6: Final answer
    x = 8,724.74

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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.