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Finding the Fourth Proportional to 11,847.72, 16,347.96 and 6,812.22

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Solution

The fourth proportional to 11,847.72, 16,347.96 and 6,812.22 is: 9,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.72 : 16,347.96 = 6,812.22 : x
  2. Step 2: Convert to fraction form
    11,847.72/16,347.96 = 6,812.22/x
  3. Step 3: Cross multiply
    11,847.72x = 16,347.96 × 6,812.22
  4. Step 4: Simplify right side
    11,847.72x = 111,365,900.07
  5. Step 5: Solve for x
    x = 111,365,900.07/11,847.72
  6. Step 6: Final answer
    x = 9,399.77

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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.