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Finding the Fourth Proportional to 7,954.07, 11,930.22 and 2,111.13

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Solution

The fourth proportional to 7,954.07, 11,930.22 and 2,111.13 is: 3,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.07 : 11,930.22 = 2,111.13 : x
  2. Step 2: Convert to fraction form
    7,954.07/11,930.22 = 2,111.13/x
  3. Step 3: Cross multiply
    7,954.07x = 11,930.22 × 2,111.13
  4. Step 4: Simplify right side
    7,954.07x = 25,186,245.35
  5. Step 5: Solve for x
    x = 25,186,245.35/7,954.07
  6. Step 6: Final answer
    x = 3,166.46

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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.