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Finding the Fourth Proportional to 11,788.68, 17,683.08 and 3,023.64

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Solution

The fourth proportional to 11,788.68, 17,683.08 and 3,023.64 is: 4,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.68 : 17,683.08 = 3,023.64 : x
  2. Step 2: Convert to fraction form
    11,788.68/17,683.08 = 3,023.64/x
  3. Step 3: Cross multiply
    11,788.68x = 17,683.08 × 3,023.64
  4. Step 4: Simplify right side
    11,788.68x = 53,467,268.01
  5. Step 5: Solve for x
    x = 53,467,268.01/11,788.68
  6. Step 6: Final answer
    x = 4,535.48

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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.