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Finding the Fourth Proportional to 7,469.36, 11,204.40 and 2,852

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Solution

The fourth proportional to 7,469.36, 11,204.40 and 2,852 is: 4,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.36 : 11,204.40 = 2,852 : x
  2. Step 2: Convert to fraction form
    7,469.36/11,204.40 = 2,852/x
  3. Step 3: Cross multiply
    7,469.36x = 11,204.40 × 2,852
  4. Step 4: Simplify right side
    7,469.36x = 31,954,948.80
  5. Step 5: Solve for x
    x = 31,954,948.80/7,469.36
  6. Step 6: Final answer
    x = 4,278.14

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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.