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Finding the Fourth Proportional to 11,643.62, 17,465.22 and 2,878.54

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Solution

The fourth proportional to 11,643.62, 17,465.22 and 2,878.54 is: 4,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.62 : 17,465.22 = 2,878.54 : x
  2. Step 2: Convert to fraction form
    11,643.62/17,465.22 = 2,878.54/x
  3. Step 3: Cross multiply
    11,643.62x = 17,465.22 × 2,878.54
  4. Step 4: Simplify right side
    11,643.62x = 50,274,290.72
  5. Step 5: Solve for x
    x = 50,274,290.72/11,643.62
  6. Step 6: Final answer
    x = 4,317.76

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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.