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Finding the Fourth Proportional to 7,172.94, 10,768.46 and 6,840.57

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Solution

The fourth proportional to 7,172.94, 10,768.46 and 6,840.57 is: 10,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.94 : 10,768.46 = 6,840.57 : x
  2. Step 2: Convert to fraction form
    7,172.94/10,768.46 = 6,840.57/x
  3. Step 3: Cross multiply
    7,172.94x = 10,768.46 × 6,840.57
  4. Step 4: Simplify right side
    7,172.94x = 73,662,370.22
  5. Step 5: Solve for x
    x = 73,662,370.22/7,172.94
  6. Step 6: Final answer
    x = 10,269.48

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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.