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Finding the Fourth Proportional to 11,172.33, 15,406.97 and 7,546.35

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Solution

The fourth proportional to 11,172.33, 15,406.97 and 7,546.35 is: 10,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.33 : 15,406.97 = 7,546.35 : x
  2. Step 2: Convert to fraction form
    11,172.33/15,406.97 = 7,546.35/x
  3. Step 3: Cross multiply
    11,172.33x = 15,406.97 × 7,546.35
  4. Step 4: Simplify right side
    11,172.33x = 116,266,350.33
  5. Step 5: Solve for x
    x = 116,266,350.33/11,172.33
  6. Step 6: Final answer
    x = 10,406.63

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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.