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Finding the Fourth Proportional to 8,235.88, 11,353.26 and 6,464.41

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Solution

The fourth proportional to 8,235.88, 11,353.26 and 6,464.41 is: 8,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.88 : 11,353.26 = 6,464.41 : x
  2. Step 2: Convert to fraction form
    8,235.88/11,353.26 = 6,464.41/x
  3. Step 3: Cross multiply
    8,235.88x = 11,353.26 × 6,464.41
  4. Step 4: Simplify right side
    8,235.88x = 73,392,123.33
  5. Step 5: Solve for x
    x = 73,392,123.33/8,235.88
  6. Step 6: Final answer
    x = 8,911.27

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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.