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Finding the Fourth Proportional to 11,653.50, 17,477.81 and 3,756.74

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Solution

The fourth proportional to 11,653.50, 17,477.81 and 3,756.74 is: 5,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.50 : 17,477.81 = 3,756.74 : x
  2. Step 2: Convert to fraction form
    11,653.50/17,477.81 = 3,756.74/x
  3. Step 3: Cross multiply
    11,653.50x = 17,477.81 × 3,756.74
  4. Step 4: Simplify right side
    11,653.50x = 65,659,481.77
  5. Step 5: Solve for x
    x = 65,659,481.77/11,653.50
  6. Step 6: Final answer
    x = 5,634.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.