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Finding the Fourth Proportional to 7,692.21, 10,615.23 and 4,335.39

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Solution

The fourth proportional to 7,692.21, 10,615.23 and 4,335.39 is: 5,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.21 : 10,615.23 = 4,335.39 : x
  2. Step 2: Convert to fraction form
    7,692.21/10,615.23 = 4,335.39/x
  3. Step 3: Cross multiply
    7,692.21x = 10,615.23 × 4,335.39
  4. Step 4: Simplify right side
    7,692.21x = 46,021,161.99
  5. Step 5: Solve for x
    x = 46,021,161.99/7,692.21
  6. Step 6: Final answer
    x = 5,982.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.