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Finding the Fourth Proportional to 7,692.10, 11,534.05 and 3,985.14

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Solution

The fourth proportional to 7,692.10, 11,534.05 and 3,985.14 is: 5,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.10 : 11,534.05 = 3,985.14 : x
  2. Step 2: Convert to fraction form
    7,692.10/11,534.05 = 3,985.14/x
  3. Step 3: Cross multiply
    7,692.10x = 11,534.05 × 3,985.14
  4. Step 4: Simplify right side
    7,692.10x = 45,964,804.02
  5. Step 5: Solve for x
    x = 45,964,804.02/7,692.10
  6. Step 6: Final answer
    x = 5,975.59

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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.