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Finding the Fourth Proportional to 7,694.34, 10,615.68 and 4,668.36

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Solution

The fourth proportional to 7,694.34, 10,615.68 and 4,668.36 is: 6,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.34 : 10,615.68 = 4,668.36 : x
  2. Step 2: Convert to fraction form
    7,694.34/10,615.68 = 4,668.36/x
  3. Step 3: Cross multiply
    7,694.34x = 10,615.68 × 4,668.36
  4. Step 4: Simplify right side
    7,694.34x = 49,557,815.88
  5. Step 5: Solve for x
    x = 49,557,815.88/7,694.34
  6. Step 6: Final answer
    x = 6,440.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.