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Finding the Fourth Proportional to 11,971.72, 16,516.06 and 7,722.19

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Solution

The fourth proportional to 11,971.72, 16,516.06 and 7,722.19 is: 10,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.72 : 16,516.06 = 7,722.19 : x
  2. Step 2: Convert to fraction form
    11,971.72/16,516.06 = 7,722.19/x
  3. Step 3: Cross multiply
    11,971.72x = 16,516.06 × 7,722.19
  4. Step 4: Simplify right side
    11,971.72x = 127,540,153.37
  5. Step 5: Solve for x
    x = 127,540,153.37/11,971.72
  6. Step 6: Final answer
    x = 10,653.45

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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.