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Finding the Fourth Proportional to 8,364.36, 12,544.50 and 2,816.26

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Solution

The fourth proportional to 8,364.36, 12,544.50 and 2,816.26 is: 4,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.36 : 12,544.50 = 2,816.26 : x
  2. Step 2: Convert to fraction form
    8,364.36/12,544.50 = 2,816.26/x
  3. Step 3: Cross multiply
    8,364.36x = 12,544.50 × 2,816.26
  4. Step 4: Simplify right side
    8,364.36x = 35,328,573.57
  5. Step 5: Solve for x
    x = 35,328,573.57/8,364.36
  6. Step 6: Final answer
    x = 4,223.70

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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.