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Finding the Fourth Proportional to 4,847.93, 7,267.67 and 4,112.32

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Solution

The fourth proportional to 4,847.93, 7,267.67 and 4,112.32 is: 6,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.93 : 7,267.67 = 4,112.32 : x
  2. Step 2: Convert to fraction form
    4,847.93/7,267.67 = 4,112.32/x
  3. Step 3: Cross multiply
    4,847.93x = 7,267.67 × 4,112.32
  4. Step 4: Simplify right side
    4,847.93x = 29,886,998.14
  5. Step 5: Solve for x
    x = 29,886,998.14/4,847.93
  6. Step 6: Final answer
    x = 6,164.90

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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.