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Finding the Fourth Proportional to 10,790.94, 16,185.25 and 2,894.25

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Solution

The fourth proportional to 10,790.94, 16,185.25 and 2,894.25 is: 4,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.94 : 16,185.25 = 2,894.25 : x
  2. Step 2: Convert to fraction form
    10,790.94/16,185.25 = 2,894.25/x
  3. Step 3: Cross multiply
    10,790.94x = 16,185.25 × 2,894.25
  4. Step 4: Simplify right side
    10,790.94x = 46,844,145.34
  5. Step 5: Solve for x
    x = 46,844,145.34/10,790.94
  6. Step 6: Final answer
    x = 4,341.06

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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.