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Finding the Fourth Proportional to 8,289.20, 11,443.34 and 6,396.54

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Solution

The fourth proportional to 8,289.20, 11,443.34 and 6,396.54 is: 8,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.20 : 11,443.34 = 6,396.54 : x
  2. Step 2: Convert to fraction form
    8,289.20/11,443.34 = 6,396.54/x
  3. Step 3: Cross multiply
    8,289.20x = 11,443.34 × 6,396.54
  4. Step 4: Simplify right side
    8,289.20x = 73,197,750.06
  5. Step 5: Solve for x
    x = 73,197,750.06/8,289.20
  6. Step 6: Final answer
    x = 8,830.50

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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.