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Finding the Fourth Proportional to 11,131.70, 16,706.82 and 5,868.60

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Solution

The fourth proportional to 11,131.70, 16,706.82 and 5,868.60 is: 8,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.70 : 16,706.82 = 5,868.60 : x
  2. Step 2: Convert to fraction form
    11,131.70/16,706.82 = 5,868.60/x
  3. Step 3: Cross multiply
    11,131.70x = 16,706.82 × 5,868.60
  4. Step 4: Simplify right side
    11,131.70x = 98,045,643.85
  5. Step 5: Solve for x
    x = 98,045,643.85/11,131.70
  6. Step 6: Final answer
    x = 8,807.79

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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.