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Finding the Fourth Proportional to 11,682.70, 17,528.10 and 5,113.60

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Solution

The fourth proportional to 11,682.70, 17,528.10 and 5,113.60 is: 7,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.70 : 17,528.10 = 5,113.60 : x
  2. Step 2: Convert to fraction form
    11,682.70/17,528.10 = 5,113.60/x
  3. Step 3: Cross multiply
    11,682.70x = 17,528.10 × 5,113.60
  4. Step 4: Simplify right side
    11,682.70x = 89,631,692.16
  5. Step 5: Solve for x
    x = 89,631,692.16/11,682.70
  6. Step 6: Final answer
    x = 7,672.17

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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.