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Finding the Fourth Proportional to 8,287.89, 11,441.52 and 6,395.22

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Solution

The fourth proportional to 8,287.89, 11,441.52 and 6,395.22 is: 8,828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.89 : 11,441.52 = 6,395.22 : x
  2. Step 2: Convert to fraction form
    8,287.89/11,441.52 = 6,395.22/x
  3. Step 3: Cross multiply
    8,287.89x = 11,441.52 × 6,395.22
  4. Step 4: Simplify right side
    8,287.89x = 73,171,037.53
  5. Step 5: Solve for x
    x = 73,171,037.53/8,287.89
  6. Step 6: Final answer
    x = 8,828.67

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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.