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Finding the Fourth Proportional to 7,185.80, 10,763.20 and 3,891.93

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Solution

The fourth proportional to 7,185.80, 10,763.20 and 3,891.93 is: 5,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.80 : 10,763.20 = 3,891.93 : x
  2. Step 2: Convert to fraction form
    7,185.80/10,763.20 = 3,891.93/x
  3. Step 3: Cross multiply
    7,185.80x = 10,763.20 × 3,891.93
  4. Step 4: Simplify right side
    7,185.80x = 41,889,620.98
  5. Step 5: Solve for x
    x = 41,889,620.98/7,185.80
  6. Step 6: Final answer
    x = 5,829.50

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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.