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Finding the Fourth Proportional to 7,647.36, 11,468.93 and 5,197.20

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Solution

The fourth proportional to 7,647.36, 11,468.93 and 5,197.20 is: 7,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.36 : 11,468.93 = 5,197.20 : x
  2. Step 2: Convert to fraction form
    7,647.36/11,468.93 = 5,197.20/x
  3. Step 3: Cross multiply
    7,647.36x = 11,468.93 × 5,197.20
  4. Step 4: Simplify right side
    7,647.36x = 59,606,297.01
  5. Step 5: Solve for x
    x = 59,606,297.01/7,647.36
  6. Step 6: Final answer
    x = 7,794.36

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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.