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Finding the Fourth Proportional to 11,782.68, 17,674.04 and 3,017.60

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Solution

The fourth proportional to 11,782.68, 17,674.04 and 3,017.60 is: 4,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.68 : 17,674.04 = 3,017.60 : x
  2. Step 2: Convert to fraction form
    11,782.68/17,674.04 = 3,017.60/x
  3. Step 3: Cross multiply
    11,782.68x = 17,674.04 × 3,017.60
  4. Step 4: Simplify right side
    11,782.68x = 53,333,183.10
  5. Step 5: Solve for x
    x = 53,333,183.10/11,782.68
  6. Step 6: Final answer
    x = 4,526.41

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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.