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Finding the Fourth Proportional to 11,612.74, 16,048.66 and 11,198.02

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Solution

The fourth proportional to 11,612.74, 16,048.66 and 11,198.02 is: 15,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.74 : 16,048.66 = 11,198.02 : x
  2. Step 2: Convert to fraction form
    11,612.74/16,048.66 = 11,198.02/x
  3. Step 3: Cross multiply
    11,612.74x = 16,048.66 × 11,198.02
  4. Step 4: Simplify right side
    11,612.74x = 179,713,215.65
  5. Step 5: Solve for x
    x = 179,713,215.65/11,612.74
  6. Step 6: Final answer
    x = 15,475.52

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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.