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Finding the Fourth Proportional to 11,618.64, 16,033.59 and 6,313.41

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Solution

The fourth proportional to 11,618.64, 16,033.59 and 6,313.41 is: 8,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.64 : 16,033.59 = 6,313.41 : x
  2. Step 2: Convert to fraction form
    11,618.64/16,033.59 = 6,313.41/x
  3. Step 3: Cross multiply
    11,618.64x = 16,033.59 × 6,313.41
  4. Step 4: Simplify right side
    11,618.64x = 101,226,627.44
  5. Step 5: Solve for x
    x = 101,226,627.44/11,618.64
  6. Step 6: Final answer
    x = 8,712.43

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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.