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Finding the Fourth Proportional to 7,745.12, 11,622 and 3,853.28

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Solution

The fourth proportional to 7,745.12, 11,622 and 3,853.28 is: 5,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.12 : 11,622 = 3,853.28 : x
  2. Step 2: Convert to fraction form
    7,745.12/11,622 = 3,853.28/x
  3. Step 3: Cross multiply
    7,745.12x = 11,622 × 3,853.28
  4. Step 4: Simplify right side
    7,745.12x = 44,782,820.16
  5. Step 5: Solve for x
    x = 44,782,820.16/7,745.12
  6. Step 6: Final answer
    x = 5,782.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.