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Finding the Fourth Proportional to 11,322.36, 15,624.09 and 6,286.41

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Solution

The fourth proportional to 11,322.36, 15,624.09 and 6,286.41 is: 8,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.36 : 15,624.09 = 6,286.41 : x
  2. Step 2: Convert to fraction form
    11,322.36/15,624.09 = 6,286.41/x
  3. Step 3: Cross multiply
    11,322.36x = 15,624.09 × 6,286.41
  4. Step 4: Simplify right side
    11,322.36x = 98,219,435.62
  5. Step 5: Solve for x
    x = 98,219,435.62/11,322.36
  6. Step 6: Final answer
    x = 8,674.82

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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.