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Finding the Fourth Proportional to 7,694.64, 11,542.77 and 3,795.30

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Solution

The fourth proportional to 7,694.64, 11,542.77 and 3,795.30 is: 5,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.64 : 11,542.77 = 3,795.30 : x
  2. Step 2: Convert to fraction form
    7,694.64/11,542.77 = 3,795.30/x
  3. Step 3: Cross multiply
    7,694.64x = 11,542.77 × 3,795.30
  4. Step 4: Simplify right side
    7,694.64x = 43,808,274.98
  5. Step 5: Solve for x
    x = 43,808,274.98/7,694.64
  6. Step 6: Final answer
    x = 5,693.35

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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.