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Finding the Fourth Proportional to 7,690.75, 11,536.13 and 3,076.99

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Solution

The fourth proportional to 7,690.75, 11,536.13 and 3,076.99 is: 4,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.75 : 11,536.13 = 3,076.99 : x
  2. Step 2: Convert to fraction form
    7,690.75/11,536.13 = 3,076.99/x
  3. Step 3: Cross multiply
    7,690.75x = 11,536.13 × 3,076.99
  4. Step 4: Simplify right side
    7,690.75x = 35,496,556.65
  5. Step 5: Solve for x
    x = 35,496,556.65/7,690.75
  6. Step 6: Final answer
    x = 4,615.49

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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.