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Finding the Fourth Proportional to 11,168.80, 16,738.80 and 5,312.80

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Solution

The fourth proportional to 11,168.80, 16,738.80 and 5,312.80 is: 7,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.80 : 16,738.80 = 5,312.80 : x
  2. Step 2: Convert to fraction form
    11,168.80/16,738.80 = 5,312.80/x
  3. Step 3: Cross multiply
    11,168.80x = 16,738.80 × 5,312.80
  4. Step 4: Simplify right side
    11,168.80x = 88,929,896.64
  5. Step 5: Solve for x
    x = 88,929,896.64/11,168.80
  6. Step 6: Final answer
    x = 7,962.35

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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.