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Finding the Fourth Proportional to 10,967.41, 16,440.97 and 5,341.74

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Solution

The fourth proportional to 10,967.41, 16,440.97 and 5,341.74 is: 8,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.41 : 16,440.97 = 5,341.74 : x
  2. Step 2: Convert to fraction form
    10,967.41/16,440.97 = 5,341.74/x
  3. Step 3: Cross multiply
    10,967.41x = 16,440.97 × 5,341.74
  4. Step 4: Simplify right side
    10,967.41x = 87,823,387.09
  5. Step 5: Solve for x
    x = 87,823,387.09/10,967.41
  6. Step 6: Final answer
    x = 8,007.67

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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.