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Finding the Fourth Proportional to 11,767.40, 17,647.10 and 5,525.48

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Solution

The fourth proportional to 11,767.40, 17,647.10 and 5,525.48 is: 8,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.40 : 17,647.10 = 5,525.48 : x
  2. Step 2: Convert to fraction form
    11,767.40/17,647.10 = 5,525.48/x
  3. Step 3: Cross multiply
    11,767.40x = 17,647.10 × 5,525.48
  4. Step 4: Simplify right side
    11,767.40x = 97,508,698.11
  5. Step 5: Solve for x
    x = 97,508,698.11/11,767.40
  6. Step 6: Final answer
    x = 8,286.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.