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Finding the Fourth Proportional to 7,762.26, 11,640.00 and 2,214.37

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Solution

The fourth proportional to 7,762.26, 11,640.00 and 2,214.37 is: 3,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.26 : 11,640.00 = 2,214.37 : x
  2. Step 2: Convert to fraction form
    7,762.26/11,640.00 = 2,214.37/x
  3. Step 3: Cross multiply
    7,762.26x = 11,640.00 × 2,214.37
  4. Step 4: Simplify right side
    7,762.26x = 25,775,197.53
  5. Step 5: Solve for x
    x = 25,775,197.53/7,762.26
  6. Step 6: Final answer
    x = 3,320.58

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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.