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Finding the Fourth Proportional to 7,806.74, 11,709.99 and 3,911.06

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Solution

The fourth proportional to 7,806.74, 11,709.99 and 3,911.06 is: 5,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.74 : 11,709.99 = 3,911.06 : x
  2. Step 2: Convert to fraction form
    7,806.74/11,709.99 = 3,911.06/x
  3. Step 3: Cross multiply
    7,806.74x = 11,709.99 × 3,911.06
  4. Step 4: Simplify right side
    7,806.74x = 45,798,473.49
  5. Step 5: Solve for x
    x = 45,798,473.49/7,806.74
  6. Step 6: Final answer
    x = 5,866.53

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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.