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Finding the Fourth Proportional to 12,106.56, 16,707.97 and 7,391.76

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Solution

The fourth proportional to 12,106.56, 16,707.97 and 7,391.76 is: 10,201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.56 : 16,707.97 = 7,391.76 : x
  2. Step 2: Convert to fraction form
    12,106.56/16,707.97 = 7,391.76/x
  3. Step 3: Cross multiply
    12,106.56x = 16,707.97 × 7,391.76
  4. Step 4: Simplify right side
    12,106.56x = 123,501,304.33
  5. Step 5: Solve for x
    x = 123,501,304.33/12,106.56
  6. Step 6: Final answer
    x = 10,201.19

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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.