Home / 7,822.26-11,733.93-2,275.65

Finding the Fourth Proportional to 7,822.26, 11,733.93 and 2,275.65

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Solution

The fourth proportional to 7,822.26, 11,733.93 and 2,275.65 is: 3,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.26 : 11,733.93 = 2,275.65 : x
  2. Step 2: Convert to fraction form
    7,822.26/11,733.93 = 2,275.65/x
  3. Step 3: Cross multiply
    7,822.26x = 11,733.93 × 2,275.65
  4. Step 4: Simplify right side
    7,822.26x = 26,702,317.80
  5. Step 5: Solve for x
    x = 26,702,317.80/7,822.26
  6. Step 6: Final answer
    x = 3,413.63

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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.