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Finding the Fourth Proportional to 11,074.50, 15,284.00 and 6,824.66

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Solution

The fourth proportional to 11,074.50, 15,284.00 and 6,824.66 is: 9,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.50 : 15,284.00 = 6,824.66 : x
  2. Step 2: Convert to fraction form
    11,074.50/15,284.00 = 6,824.66/x
  3. Step 3: Cross multiply
    11,074.50x = 15,284.00 × 6,824.66
  4. Step 4: Simplify right side
    11,074.50x = 104,307,992.90
  5. Step 5: Solve for x
    x = 104,307,992.90/11,074.50
  6. Step 6: Final answer
    x = 9,418.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.