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Finding the Fourth Proportional to 11,076.74, 15,271.22 and 8,949.90

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Solution

The fourth proportional to 11,076.74, 15,271.22 and 8,949.90 is: 12,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.74 : 15,271.22 = 8,949.90 : x
  2. Step 2: Convert to fraction form
    11,076.74/15,271.22 = 8,949.90/x
  3. Step 3: Cross multiply
    11,076.74x = 15,271.22 × 8,949.90
  4. Step 4: Simplify right side
    11,076.74x = 136,675,891.88
  5. Step 5: Solve for x
    x = 136,675,891.88/11,076.74
  6. Step 6: Final answer
    x = 12,339.00

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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.