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Finding the Fourth Proportional to 10,685.42, 16,028.11 and 2,894.23

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Solution

The fourth proportional to 10,685.42, 16,028.11 and 2,894.23 is: 4,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.42 : 16,028.11 = 2,894.23 : x
  2. Step 2: Convert to fraction form
    10,685.42/16,028.11 = 2,894.23/x
  3. Step 3: Cross multiply
    10,685.42x = 16,028.11 × 2,894.23
  4. Step 4: Simplify right side
    10,685.42x = 46,389,060.46
  5. Step 5: Solve for x
    x = 46,389,060.46/10,685.42
  6. Step 6: Final answer
    x = 4,341.34

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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.