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Finding the Fourth Proportional to 7,146.50, 10,724.16 and 3,817.25

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Solution

The fourth proportional to 7,146.50, 10,724.16 and 3,817.25 is: 5,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.50 : 10,724.16 = 3,817.25 : x
  2. Step 2: Convert to fraction form
    7,146.50/10,724.16 = 3,817.25/x
  3. Step 3: Cross multiply
    7,146.50x = 10,724.16 × 3,817.25
  4. Step 4: Simplify right side
    7,146.50x = 40,936,799.76
  5. Step 5: Solve for x
    x = 40,936,799.76/7,146.50
  6. Step 6: Final answer
    x = 5,728.23

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Why These Related Problems?

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