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Finding the Fourth Proportional to 11,314.20, 16,976.16 and 8,048.28

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Solution

The fourth proportional to 11,314.20, 16,976.16 and 8,048.28 is: 12,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.20 : 16,976.16 = 8,048.28 : x
  2. Step 2: Convert to fraction form
    11,314.20/16,976.16 = 8,048.28/x
  3. Step 3: Cross multiply
    11,314.20x = 16,976.16 × 8,048.28
  4. Step 4: Simplify right side
    11,314.20x = 136,628,889.00
  5. Step 5: Solve for x
    x = 136,628,889.00/11,314.20
  6. Step 6: Final answer
    x = 12,075.88

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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.