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Finding the Fourth Proportional to 10,805.94, 16,187.22 and 4,954.50

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Solution

The fourth proportional to 10,805.94, 16,187.22 and 4,954.50 is: 7,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.94 : 16,187.22 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    10,805.94/16,187.22 = 4,954.50/x
  3. Step 3: Cross multiply
    10,805.94x = 16,187.22 × 4,954.50
  4. Step 4: Simplify right side
    10,805.94x = 80,199,581.49
  5. Step 5: Solve for x
    x = 80,199,581.49/10,805.94
  6. Step 6: Final answer
    x = 7,421.81

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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.