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Finding the Fourth Proportional to 11,476, 17,216.88 and 3,268

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Solution

The fourth proportional to 11,476, 17,216.88 and 3,268 is: 4,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476 : 17,216.88 = 3,268 : x
  2. Step 2: Convert to fraction form
    11,476/17,216.88 = 3,268/x
  3. Step 3: Cross multiply
    11,476x = 17,216.88 × 3,268
  4. Step 4: Simplify right side
    11,476x = 56,264,763.84
  5. Step 5: Solve for x
    x = 56,264,763.84/11,476
  6. Step 6: Final answer
    x = 4,902.82

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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.