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Finding the Fourth Proportional to 11,765.41, 17,646.29 and 3,443.47

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Solution

The fourth proportional to 11,765.41, 17,646.29 and 3,443.47 is: 5,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.41 : 17,646.29 = 3,443.47 : x
  2. Step 2: Convert to fraction form
    11,765.41/17,646.29 = 3,443.47/x
  3. Step 3: Cross multiply
    11,765.41x = 17,646.29 × 3,443.47
  4. Step 4: Simplify right side
    11,765.41x = 60,764,408.89
  5. Step 5: Solve for x
    x = 60,764,408.89/11,765.41
  6. Step 6: Final answer
    x = 5,164.67

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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.