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Finding the Fourth Proportional to 7,926.40, 11,974.60 and 7,926.40

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Solution

The fourth proportional to 7,926.40, 11,974.60 and 7,926.40 is: 11,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.40 : 11,974.60 = 7,926.40 : x
  2. Step 2: Convert to fraction form
    7,926.40/11,974.60 = 7,926.40/x
  3. Step 3: Cross multiply
    7,926.40x = 11,974.60 × 7,926.40
  4. Step 4: Simplify right side
    7,926.40x = 94,915,469.44
  5. Step 5: Solve for x
    x = 94,915,469.44/7,926.40
  6. Step 6: Final answer
    x = 11,974.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.