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Finding the Fourth Proportional to 10,771.66, 16,156.44 and 3,749.98

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Solution

The fourth proportional to 10,771.66, 16,156.44 and 3,749.98 is: 5,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.66 : 16,156.44 = 3,749.98 : x
  2. Step 2: Convert to fraction form
    10,771.66/16,156.44 = 3,749.98/x
  3. Step 3: Cross multiply
    10,771.66x = 16,156.44 × 3,749.98
  4. Step 4: Simplify right side
    10,771.66x = 60,586,326.87
  5. Step 5: Solve for x
    x = 60,586,326.87/10,771.66
  6. Step 6: Final answer
    x = 5,624.60

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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.