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Finding the Fourth Proportional to 11,645.64, 17,465.76 and 3,325.44

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Solution

The fourth proportional to 11,645.64, 17,465.76 and 3,325.44 is: 4,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.64 : 17,465.76 = 3,325.44 : x
  2. Step 2: Convert to fraction form
    11,645.64/17,465.76 = 3,325.44/x
  3. Step 3: Cross multiply
    11,645.64x = 17,465.76 × 3,325.44
  4. Step 4: Simplify right side
    11,645.64x = 58,081,336.93
  5. Step 5: Solve for x
    x = 58,081,336.93/11,645.64
  6. Step 6: Final answer
    x = 4,987.39

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