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Finding the Fourth Proportional to 7,745.36, 11,641.08 and 3,644.24

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Solution

The fourth proportional to 7,745.36, 11,641.08 and 3,644.24 is: 5,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.36 : 11,641.08 = 3,644.24 : x
  2. Step 2: Convert to fraction form
    7,745.36/11,641.08 = 3,644.24/x
  3. Step 3: Cross multiply
    7,745.36x = 11,641.08 × 3,644.24
  4. Step 4: Simplify right side
    7,745.36x = 42,422,889.38
  5. Step 5: Solve for x
    x = 42,422,889.38/7,745.36
  6. Step 6: Final answer
    x = 5,477.20

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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.