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Finding the Fourth Proportional to 11,389.81, 17,093.82 and 4,820.57

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Solution

The fourth proportional to 11,389.81, 17,093.82 and 4,820.57 is: 7,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.81 : 17,093.82 = 4,820.57 : x
  2. Step 2: Convert to fraction form
    11,389.81/17,093.82 = 4,820.57/x
  3. Step 3: Cross multiply
    11,389.81x = 17,093.82 × 4,820.57
  4. Step 4: Simplify right side
    11,389.81x = 82,401,955.88
  5. Step 5: Solve for x
    x = 82,401,955.88/11,389.81
  6. Step 6: Final answer
    x = 7,234.71

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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.