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Finding the Fourth Proportional to 7,786.60, 11,676.30 and 3,401.80

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Solution

The fourth proportional to 7,786.60, 11,676.30 and 3,401.80 is: 5,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.60 : 11,676.30 = 3,401.80 : x
  2. Step 2: Convert to fraction form
    7,786.60/11,676.30 = 3,401.80/x
  3. Step 3: Cross multiply
    7,786.60x = 11,676.30 × 3,401.80
  4. Step 4: Simplify right side
    7,786.60x = 39,720,437.34
  5. Step 5: Solve for x
    x = 39,720,437.34/7,786.60
  6. Step 6: Final answer
    x = 5,101.13

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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.