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Finding the Fourth Proportional to 10,912.85, 16,370.48 and 3,894.50

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Solution

The fourth proportional to 10,912.85, 16,370.48 and 3,894.50 is: 5,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.85 : 16,370.48 = 3,894.50 : x
  2. Step 2: Convert to fraction form
    10,912.85/16,370.48 = 3,894.50/x
  3. Step 3: Cross multiply
    10,912.85x = 16,370.48 × 3,894.50
  4. Step 4: Simplify right side
    10,912.85x = 63,754,733.04
  5. Step 5: Solve for x
    x = 63,754,733.04/10,912.85
  6. Step 6: Final answer
    x = 5,842.17

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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.