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Finding the Fourth Proportional to 7,806.08, 10,769.85 and 4,619.48

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Solution

The fourth proportional to 7,806.08, 10,769.85 and 4,619.48 is: 6,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.08 : 10,769.85 = 4,619.48 : x
  2. Step 2: Convert to fraction form
    7,806.08/10,769.85 = 4,619.48/x
  3. Step 3: Cross multiply
    7,806.08x = 10,769.85 × 4,619.48
  4. Step 4: Simplify right side
    7,806.08x = 49,751,106.68
  5. Step 5: Solve for x
    x = 49,751,106.68/7,806.08
  6. Step 6: Final answer
    x = 6,373.38

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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.