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Finding the Fourth Proportional to 7,692.33, 11,539.50 and 2,762.52

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Solution

The fourth proportional to 7,692.33, 11,539.50 and 2,762.52 is: 4,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.33 : 11,539.50 = 2,762.52 : x
  2. Step 2: Convert to fraction form
    7,692.33/11,539.50 = 2,762.52/x
  3. Step 3: Cross multiply
    7,692.33x = 11,539.50 × 2,762.52
  4. Step 4: Simplify right side
    7,692.33x = 31,878,099.54
  5. Step 5: Solve for x
    x = 31,878,099.54/7,692.33
  6. Step 6: Final answer
    x = 4,144.14

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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.