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Finding the Fourth Proportional to 11,215.67, 16,810.74 and 6,823.44

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Solution

The fourth proportional to 11,215.67, 16,810.74 and 6,823.44 is: 10,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.67 : 16,810.74 = 6,823.44 : x
  2. Step 2: Convert to fraction form
    11,215.67/16,810.74 = 6,823.44/x
  3. Step 3: Cross multiply
    11,215.67x = 16,810.74 × 6,823.44
  4. Step 4: Simplify right side
    11,215.67x = 114,707,075.75
  5. Step 5: Solve for x
    x = 114,707,075.75/11,215.67
  6. Step 6: Final answer
    x = 10,227.40

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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.