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Finding the Fourth Proportional to 7,750.66, 11,625.99 and 2,556.53

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Solution

The fourth proportional to 7,750.66, 11,625.99 and 2,556.53 is: 3,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.66 : 11,625.99 = 2,556.53 : x
  2. Step 2: Convert to fraction form
    7,750.66/11,625.99 = 2,556.53/x
  3. Step 3: Cross multiply
    7,750.66x = 11,625.99 × 2,556.53
  4. Step 4: Simplify right side
    7,750.66x = 29,722,192.21
  5. Step 5: Solve for x
    x = 29,722,192.21/7,750.66
  6. Step 6: Final answer
    x = 3,834.80

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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.