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Finding the Fourth Proportional to 8,384.40, 11,568.87 and 5,399.64

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Solution

The fourth proportional to 8,384.40, 11,568.87 and 5,399.64 is: 7,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.40 : 11,568.87 = 5,399.64 : x
  2. Step 2: Convert to fraction form
    8,384.40/11,568.87 = 5,399.64/x
  3. Step 3: Cross multiply
    8,384.40x = 11,568.87 × 5,399.64
  4. Step 4: Simplify right side
    8,384.40x = 62,467,733.21
  5. Step 5: Solve for x
    x = 62,467,733.21/8,384.40
  6. Step 6: Final answer
    x = 7,450.47

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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.