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Finding the Fourth Proportional to 8,164.50, 11,267.98 and 4,852.50

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Solution

The fourth proportional to 8,164.50, 11,267.98 and 4,852.50 is: 6,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.50 : 11,267.98 = 4,852.50 : x
  2. Step 2: Convert to fraction form
    8,164.50/11,267.98 = 4,852.50/x
  3. Step 3: Cross multiply
    8,164.50x = 11,267.98 × 4,852.50
  4. Step 4: Simplify right side
    8,164.50x = 54,677,872.95
  5. Step 5: Solve for x
    x = 54,677,872.95/8,164.50
  6. Step 6: Final answer
    x = 6,697.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.