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Finding the Fourth Proportional to 7,394.08, 10,212.06 and 5,735.53

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Solution

The fourth proportional to 7,394.08, 10,212.06 and 5,735.53 is: 7,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.08 : 10,212.06 = 5,735.53 : x
  2. Step 2: Convert to fraction form
    7,394.08/10,212.06 = 5,735.53/x
  3. Step 3: Cross multiply
    7,394.08x = 10,212.06 × 5,735.53
  4. Step 4: Simplify right side
    7,394.08x = 58,571,576.49
  5. Step 5: Solve for x
    x = 58,571,576.49/7,394.08
  6. Step 6: Final answer
    x = 7,921.42

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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.