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Finding the Fourth Proportional to 7,252.50, 9,993.62 and 6,860.40

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Solution

The fourth proportional to 7,252.50, 9,993.62 and 6,860.40 is: 9,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.50 : 9,993.62 = 6,860.40 : x
  2. Step 2: Convert to fraction form
    7,252.50/9,993.62 = 6,860.40/x
  3. Step 3: Cross multiply
    7,252.50x = 9,993.62 × 6,860.40
  4. Step 4: Simplify right side
    7,252.50x = 68,560,230.65
  5. Step 5: Solve for x
    x = 68,560,230.65/7,252.50
  6. Step 6: Final answer
    x = 9,453.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.