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Finding the Fourth Proportional to 11,583.51, 17,378.51 and 3,797.79

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Solution

The fourth proportional to 11,583.51, 17,378.51 and 3,797.79 is: 5,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.51 : 17,378.51 = 3,797.79 : x
  2. Step 2: Convert to fraction form
    11,583.51/17,378.51 = 3,797.79/x
  3. Step 3: Cross multiply
    11,583.51x = 17,378.51 × 3,797.79
  4. Step 4: Simplify right side
    11,583.51x = 65,999,912.50
  5. Step 5: Solve for x
    x = 65,999,912.50/11,583.51
  6. Step 6: Final answer
    x = 5,697.75

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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.