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Finding the Fourth Proportional to 7,745.40, 11,611.59 and 5,398.50

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Solution

The fourth proportional to 7,745.40, 11,611.59 and 5,398.50 is: 8,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.40 : 11,611.59 = 5,398.50 : x
  2. Step 2: Convert to fraction form
    7,745.40/11,611.59 = 5,398.50/x
  3. Step 3: Cross multiply
    7,745.40x = 11,611.59 × 5,398.50
  4. Step 4: Simplify right side
    7,745.40x = 62,685,168.62
  5. Step 5: Solve for x
    x = 62,685,168.62/7,745.40
  6. Step 6: Final answer
    x = 8,093.21

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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.