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Finding the Fourth Proportional to 10,940.38, 16,411.80 and 4,014.88

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Solution

The fourth proportional to 10,940.38, 16,411.80 and 4,014.88 is: 6,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.38 : 16,411.80 = 4,014.88 : x
  2. Step 2: Convert to fraction form
    10,940.38/16,411.80 = 4,014.88/x
  3. Step 3: Cross multiply
    10,940.38x = 16,411.80 × 4,014.88
  4. Step 4: Simplify right side
    10,940.38x = 65,891,407.58
  5. Step 5: Solve for x
    x = 65,891,407.58/10,940.38
  6. Step 6: Final answer
    x = 6,022.77

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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.