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Finding the Fourth Proportional to 11,522.88, 17,266.64 and 6,833.66

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Solution

The fourth proportional to 11,522.88, 17,266.64 and 6,833.66 is: 10,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.88 : 17,266.64 = 6,833.66 : x
  2. Step 2: Convert to fraction form
    11,522.88/17,266.64 = 6,833.66/x
  3. Step 3: Cross multiply
    11,522.88x = 17,266.64 × 6,833.66
  4. Step 4: Simplify right side
    11,522.88x = 117,994,226.60
  5. Step 5: Solve for x
    x = 117,994,226.60/11,522.88
  6. Step 6: Final answer
    x = 10,239.99

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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.