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Finding the Fourth Proportional to 10,768.02, 16,151.76 and 4,441.50

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Solution

The fourth proportional to 10,768.02, 16,151.76 and 4,441.50 is: 6,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.02 : 16,151.76 = 4,441.50 : x
  2. Step 2: Convert to fraction form
    10,768.02/16,151.76 = 4,441.50/x
  3. Step 3: Cross multiply
    10,768.02x = 16,151.76 × 4,441.50
  4. Step 4: Simplify right side
    10,768.02x = 71,738,042.04
  5. Step 5: Solve for x
    x = 71,738,042.04/10,768.02
  6. Step 6: Final answer
    x = 6,662.14

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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.