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Finding the Fourth Proportional to 7,211.54, 10,817.31 and 3,107.54

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Solution

The fourth proportional to 7,211.54, 10,817.31 and 3,107.54 is: 4,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.54 : 10,817.31 = 3,107.54 : x
  2. Step 2: Convert to fraction form
    7,211.54/10,817.31 = 3,107.54/x
  3. Step 3: Cross multiply
    7,211.54x = 10,817.31 × 3,107.54
  4. Step 4: Simplify right side
    7,211.54x = 33,615,223.52
  5. Step 5: Solve for x
    x = 33,615,223.52/7,211.54
  6. Step 6: Final answer
    x = 4,661.31

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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.