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Finding the Fourth Proportional to 12,817.37, 17,680.83 and 7,511.15

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Solution

The fourth proportional to 12,817.37, 17,680.83 and 7,511.15 is: 10,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.37 : 17,680.83 = 7,511.15 : x
  2. Step 2: Convert to fraction form
    12,817.37/17,680.83 = 7,511.15/x
  3. Step 3: Cross multiply
    12,817.37x = 17,680.83 × 7,511.15
  4. Step 4: Simplify right side
    12,817.37x = 132,803,277.85
  5. Step 5: Solve for x
    x = 132,803,277.85/12,817.37
  6. Step 6: Final answer
    x = 10,361.20

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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.