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Finding the Fourth Proportional to 11,578.75, 17,368.07 and 2,813.68

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Solution

The fourth proportional to 11,578.75, 17,368.07 and 2,813.68 is: 4,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.75 : 17,368.07 = 2,813.68 : x
  2. Step 2: Convert to fraction form
    11,578.75/17,368.07 = 2,813.68/x
  3. Step 3: Cross multiply
    11,578.75x = 17,368.07 × 2,813.68
  4. Step 4: Simplify right side
    11,578.75x = 48,868,220.55
  5. Step 5: Solve for x
    x = 48,868,220.55/11,578.75
  6. Step 6: Final answer
    x = 4,220.51

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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.