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Finding the Fourth Proportional to 6,811.08, 10,225.80 and 3,526.80

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Solution

The fourth proportional to 6,811.08, 10,225.80 and 3,526.80 is: 5,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.08 : 10,225.80 = 3,526.80 : x
  2. Step 2: Convert to fraction form
    6,811.08/10,225.80 = 3,526.80/x
  3. Step 3: Cross multiply
    6,811.08x = 10,225.80 × 3,526.80
  4. Step 4: Simplify right side
    6,811.08x = 36,064,351.44
  5. Step 5: Solve for x
    x = 36,064,351.44/6,811.08
  6. Step 6: Final answer
    x = 5,294.95

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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.