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Finding the Fourth Proportional to 7,658.88, 11,491.05 and 3,766.02

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Solution

The fourth proportional to 7,658.88, 11,491.05 and 3,766.02 is: 5,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.88 : 11,491.05 = 3,766.02 : x
  2. Step 2: Convert to fraction form
    7,658.88/11,491.05 = 3,766.02/x
  3. Step 3: Cross multiply
    7,658.88x = 11,491.05 × 3,766.02
  4. Step 4: Simplify right side
    7,658.88x = 43,275,466.67
  5. Step 5: Solve for x
    x = 43,275,466.67/7,658.88
  6. Step 6: Final answer
    x = 5,650.37

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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.