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Finding the Fourth Proportional to 7,193.55, 10,796.74 and 3,685.95

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Solution

The fourth proportional to 7,193.55, 10,796.74 and 3,685.95 is: 5,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.55 : 10,796.74 = 3,685.95 : x
  2. Step 2: Convert to fraction form
    7,193.55/10,796.74 = 3,685.95/x
  3. Step 3: Cross multiply
    7,193.55x = 10,796.74 × 3,685.95
  4. Step 4: Simplify right side
    7,193.55x = 39,796,171.39
  5. Step 5: Solve for x
    x = 39,796,171.39/7,193.55
  6. Step 6: Final answer
    x = 5,532.20

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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.