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Finding the Fourth Proportional to 7,762.91, 11,644.36 and 2,216.36

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Solution

The fourth proportional to 7,762.91, 11,644.36 and 2,216.36 is: 3,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.91 : 11,644.36 = 2,216.36 : x
  2. Step 2: Convert to fraction form
    7,762.91/11,644.36 = 2,216.36/x
  3. Step 3: Cross multiply
    7,762.91x = 11,644.36 × 2,216.36
  4. Step 4: Simplify right side
    7,762.91x = 25,808,117.30
  5. Step 5: Solve for x
    x = 25,808,117.30/7,762.91
  6. Step 6: Final answer
    x = 3,324.54

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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.