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Finding the Fourth Proportional to 11,206.80, 16,818.30 and 6,271.20

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Solution

The fourth proportional to 11,206.80, 16,818.30 and 6,271.20 is: 9,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.80 : 16,818.30 = 6,271.20 : x
  2. Step 2: Convert to fraction form
    11,206.80/16,818.30 = 6,271.20/x
  3. Step 3: Cross multiply
    11,206.80x = 16,818.30 × 6,271.20
  4. Step 4: Simplify right side
    11,206.80x = 105,470,922.96
  5. Step 5: Solve for x
    x = 105,470,922.96/11,206.80
  6. Step 6: Final answer
    x = 9,411.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.