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Finding the Fourth Proportional to 7,967.36, 11,951.58 and 3,289.16

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Solution

The fourth proportional to 7,967.36, 11,951.58 and 3,289.16 is: 4,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.36 : 11,951.58 = 3,289.16 : x
  2. Step 2: Convert to fraction form
    7,967.36/11,951.58 = 3,289.16/x
  3. Step 3: Cross multiply
    7,967.36x = 11,951.58 × 3,289.16
  4. Step 4: Simplify right side
    7,967.36x = 39,310,658.87
  5. Step 5: Solve for x
    x = 39,310,658.87/7,967.36
  6. Step 6: Final answer
    x = 4,933.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.