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Finding the Fourth Proportional to 10,940.58, 15,099.75 and 6,226.38

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Solution

The fourth proportional to 10,940.58, 15,099.75 and 6,226.38 is: 8,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.58 : 15,099.75 = 6,226.38 : x
  2. Step 2: Convert to fraction form
    10,940.58/15,099.75 = 6,226.38/x
  3. Step 3: Cross multiply
    10,940.58x = 15,099.75 × 6,226.38
  4. Step 4: Simplify right side
    10,940.58x = 94,016,781.41
  5. Step 5: Solve for x
    x = 94,016,781.41/10,940.58
  6. Step 6: Final answer
    x = 8,593.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.