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Finding the Fourth Proportional to 10,276.17, 14,189.07 and 6,692.83

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Solution

The fourth proportional to 10,276.17, 14,189.07 and 6,692.83 is: 9,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.17 : 14,189.07 = 6,692.83 : x
  2. Step 2: Convert to fraction form
    10,276.17/14,189.07 = 6,692.83/x
  3. Step 3: Cross multiply
    10,276.17x = 14,189.07 × 6,692.83
  4. Step 4: Simplify right side
    10,276.17x = 94,965,022.99
  5. Step 5: Solve for x
    x = 94,965,022.99/10,276.17
  6. Step 6: Final answer
    x = 9,241.29

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