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Finding the Fourth Proportional to 11,578.96, 17,368.44 and 2,813.88

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Solution

The fourth proportional to 11,578.96, 17,368.44 and 2,813.88 is: 4,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.96 : 17,368.44 = 2,813.88 : x
  2. Step 2: Convert to fraction form
    11,578.96/17,368.44 = 2,813.88/x
  3. Step 3: Cross multiply
    11,578.96x = 17,368.44 × 2,813.88
  4. Step 4: Simplify right side
    11,578.96x = 48,872,705.95
  5. Step 5: Solve for x
    x = 48,872,705.95/11,578.96
  6. Step 6: Final answer
    x = 4,220.82

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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.