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Finding the Fourth Proportional to 8,469.15, 12,704.19 and 3,533.82

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Solution

The fourth proportional to 8,469.15, 12,704.19 and 3,533.82 is: 5,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.15 : 12,704.19 = 3,533.82 : x
  2. Step 2: Convert to fraction form
    8,469.15/12,704.19 = 3,533.82/x
  3. Step 3: Cross multiply
    8,469.15x = 12,704.19 × 3,533.82
  4. Step 4: Simplify right side
    8,469.15x = 44,894,320.71
  5. Step 5: Solve for x
    x = 44,894,320.71/8,469.15
  6. Step 6: Final answer
    x = 5,300.92

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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.