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Finding the Fourth Proportional to 7,168.50, 10,753.16 and 2,551.50

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Solution

The fourth proportional to 7,168.50, 10,753.16 and 2,551.50 is: 3,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.50 : 10,753.16 = 2,551.50 : x
  2. Step 2: Convert to fraction form
    7,168.50/10,753.16 = 2,551.50/x
  3. Step 3: Cross multiply
    7,168.50x = 10,753.16 × 2,551.50
  4. Step 4: Simplify right side
    7,168.50x = 27,436,674.98
  5. Step 5: Solve for x
    x = 27,436,674.98/7,168.50
  6. Step 6: Final answer
    x = 3,827.39

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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.