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Finding the Fourth Proportional to 7,658.64, 11,493.43 and 3,765.78

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Solution

The fourth proportional to 7,658.64, 11,493.43 and 3,765.78 is: 5,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.64 : 11,493.43 = 3,765.78 : x
  2. Step 2: Convert to fraction form
    7,658.64/11,493.43 = 3,765.78/x
  3. Step 3: Cross multiply
    7,658.64x = 11,493.43 × 3,765.78
  4. Step 4: Simplify right side
    7,658.64x = 43,281,719.41
  5. Step 5: Solve for x
    x = 43,281,719.41/7,658.64
  6. Step 6: Final answer
    x = 5,651.36

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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.