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Finding the Fourth Proportional to 7,928.74, 11,893.11 and 3,308.50

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Solution

The fourth proportional to 7,928.74, 11,893.11 and 3,308.50 is: 4,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.74 : 11,893.11 = 3,308.50 : x
  2. Step 2: Convert to fraction form
    7,928.74/11,893.11 = 3,308.50/x
  3. Step 3: Cross multiply
    7,928.74x = 11,893.11 × 3,308.50
  4. Step 4: Simplify right side
    7,928.74x = 39,348,354.44
  5. Step 5: Solve for x
    x = 39,348,354.44/7,928.74
  6. Step 6: Final answer
    x = 4,962.75

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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.