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Finding the Fourth Proportional to 7,946.36, 11,967.13 and 7,236.97

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Solution

The fourth proportional to 7,946.36, 11,967.13 and 7,236.97 is: 10,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.36 : 11,967.13 = 7,236.97 : x
  2. Step 2: Convert to fraction form
    7,946.36/11,967.13 = 7,236.97/x
  3. Step 3: Cross multiply
    7,946.36x = 11,967.13 × 7,236.97
  4. Step 4: Simplify right side
    7,946.36x = 86,605,806.26
  5. Step 5: Solve for x
    x = 86,605,806.26/7,946.36
  6. Step 6: Final answer
    x = 10,898.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.