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Finding the Fourth Proportional to 10,846.98, 16,270.74 and 3,055.50

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Solution

The fourth proportional to 10,846.98, 16,270.74 and 3,055.50 is: 4,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.98 : 16,270.74 = 3,055.50 : x
  2. Step 2: Convert to fraction form
    10,846.98/16,270.74 = 3,055.50/x
  3. Step 3: Cross multiply
    10,846.98x = 16,270.74 × 3,055.50
  4. Step 4: Simplify right side
    10,846.98x = 49,715,246.07
  5. Step 5: Solve for x
    x = 49,715,246.07/10,846.98
  6. Step 6: Final answer
    x = 4,583.33

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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.