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Finding the Fourth Proportional to 8,469.85, 12,702.44 and 3,538.67

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Solution

The fourth proportional to 8,469.85, 12,702.44 and 3,538.67 is: 5,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.85 : 12,702.44 = 3,538.67 : x
  2. Step 2: Convert to fraction form
    8,469.85/12,702.44 = 3,538.67/x
  3. Step 3: Cross multiply
    8,469.85x = 12,702.44 × 3,538.67
  4. Step 4: Simplify right side
    8,469.85x = 44,949,743.35
  5. Step 5: Solve for x
    x = 44,949,743.35/8,469.85
  6. Step 6: Final answer
    x = 5,307.03

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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.