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Finding the Fourth Proportional to 7,745.34, 11,611.48 and 3,359.50

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Solution

The fourth proportional to 7,745.34, 11,611.48 and 3,359.50 is: 5,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.34 : 11,611.48 = 3,359.50 : x
  2. Step 2: Convert to fraction form
    7,745.34/11,611.48 = 3,359.50/x
  3. Step 3: Cross multiply
    7,745.34x = 11,611.48 × 3,359.50
  4. Step 4: Simplify right side
    7,745.34x = 39,008,709.00
  5. Step 5: Solve for x
    x = 39,008,709.00/7,745.34
  6. Step 6: Final answer
    x = 5,036.41

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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.