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Finding the Fourth Proportional to 11,806.56, 17,706.07 and 4,788.34

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Solution

The fourth proportional to 11,806.56, 17,706.07 and 4,788.34 is: 7,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.56 : 17,706.07 = 4,788.34 : x
  2. Step 2: Convert to fraction form
    11,806.56/17,706.07 = 4,788.34/x
  3. Step 3: Cross multiply
    11,806.56x = 17,706.07 × 4,788.34
  4. Step 4: Simplify right side
    11,806.56x = 84,782,683.22
  5. Step 5: Solve for x
    x = 84,782,683.22/11,806.56
  6. Step 6: Final answer
    x = 7,180.98

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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.