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Finding the Fourth Proportional to 12,771.78, 19,161 and 4,874.46

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Solution

The fourth proportional to 12,771.78, 19,161 and 4,874.46 is: 7,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.78 : 19,161 = 4,874.46 : x
  2. Step 2: Convert to fraction form
    12,771.78/19,161 = 4,874.46/x
  3. Step 3: Cross multiply
    12,771.78x = 19,161 × 4,874.46
  4. Step 4: Simplify right side
    12,771.78x = 93,399,528.06
  5. Step 5: Solve for x
    x = 93,399,528.06/12,771.78
  6. Step 6: Final answer
    x = 7,312.96

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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.