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Finding the Fourth Proportional to 11,645.64, 17,465.22 and 3,855.06

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Solution

The fourth proportional to 11,645.64, 17,465.22 and 3,855.06 is: 5,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.64 : 17,465.22 = 3,855.06 : x
  2. Step 2: Convert to fraction form
    11,645.64/17,465.22 = 3,855.06/x
  3. Step 3: Cross multiply
    11,645.64x = 17,465.22 × 3,855.06
  4. Step 4: Simplify right side
    11,645.64x = 67,329,471.01
  5. Step 5: Solve for x
    x = 67,329,471.01/11,645.64
  6. Step 6: Final answer
    x = 5,781.52

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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.