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Finding the Fourth Proportional to 8,292.21, 11,447.49 and 6,399.54

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Solution

The fourth proportional to 8,292.21, 11,447.49 and 6,399.54 is: 8,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.21 : 11,447.49 = 6,399.54 : x
  2. Step 2: Convert to fraction form
    8,292.21/11,447.49 = 6,399.54/x
  3. Step 3: Cross multiply
    8,292.21x = 11,447.49 × 6,399.54
  4. Step 4: Simplify right side
    8,292.21x = 73,258,670.15
  5. Step 5: Solve for x
    x = 73,258,670.15/8,292.21
  6. Step 6: Final answer
    x = 8,834.64

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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.