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Finding the Fourth Proportional to 7,692.50, 11,534.63 and 3,985.54

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Solution

The fourth proportional to 7,692.50, 11,534.63 and 3,985.54 is: 5,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.50 : 11,534.63 = 3,985.54 : x
  2. Step 2: Convert to fraction form
    7,692.50/11,534.63 = 3,985.54/x
  3. Step 3: Cross multiply
    7,692.50x = 11,534.63 × 3,985.54
  4. Step 4: Simplify right side
    7,692.50x = 45,971,680.49
  5. Step 5: Solve for x
    x = 45,971,680.49/7,692.50
  6. Step 6: Final answer
    x = 5,976.17

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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.