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Finding the Fourth Proportional to 7,841.36, 11,762.01 and 2,647.23

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Solution

The fourth proportional to 7,841.36, 11,762.01 and 2,647.23 is: 3,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.36 : 11,762.01 = 2,647.23 : x
  2. Step 2: Convert to fraction form
    7,841.36/11,762.01 = 2,647.23/x
  3. Step 3: Cross multiply
    7,841.36x = 11,762.01 × 2,647.23
  4. Step 4: Simplify right side
    7,841.36x = 31,136,745.73
  5. Step 5: Solve for x
    x = 31,136,745.73/7,841.36
  6. Step 6: Final answer
    x = 3,970.84

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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.