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Finding the Fourth Proportional to 7,749.57, 10,694.18 and 4,212.69

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Solution

The fourth proportional to 7,749.57, 10,694.18 and 4,212.69 is: 5,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.57 : 10,694.18 = 4,212.69 : x
  2. Step 2: Convert to fraction form
    7,749.57/10,694.18 = 4,212.69/x
  3. Step 3: Cross multiply
    7,749.57x = 10,694.18 × 4,212.69
  4. Step 4: Simplify right side
    7,749.57x = 45,051,244.08
  5. Step 5: Solve for x
    x = 45,051,244.08/7,749.57
  6. Step 6: Final answer
    x = 5,813.39

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Why These Related Problems?

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