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Finding the Fourth Proportional to 8,453.86, 11,652.34 and 6,354.34

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Solution

The fourth proportional to 8,453.86, 11,652.34 and 6,354.34 is: 8,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.86 : 11,652.34 = 6,354.34 : x
  2. Step 2: Convert to fraction form
    8,453.86/11,652.34 = 6,354.34/x
  3. Step 3: Cross multiply
    8,453.86x = 11,652.34 × 6,354.34
  4. Step 4: Simplify right side
    8,453.86x = 74,042,930.16
  5. Step 5: Solve for x
    x = 74,042,930.16/8,453.86
  6. Step 6: Final answer
    x = 8,758.48

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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.