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Finding the Fourth Proportional to 7,692.22, 11,534.23 and 3,985.26

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Solution

The fourth proportional to 7,692.22, 11,534.23 and 3,985.26 is: 5,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.22 : 11,534.23 = 3,985.26 : x
  2. Step 2: Convert to fraction form
    7,692.22/11,534.23 = 3,985.26/x
  3. Step 3: Cross multiply
    7,692.22x = 11,534.23 × 3,985.26
  4. Step 4: Simplify right side
    7,692.22x = 45,966,905.45
  5. Step 5: Solve for x
    x = 45,966,905.45/7,692.22
  6. Step 6: Final answer
    x = 5,975.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.