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Finding the Fourth Proportional to 7,973.84, 11,961.84 and 2,778.50

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Solution

The fourth proportional to 7,973.84, 11,961.84 and 2,778.50 is: 4,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.84 : 11,961.84 = 2,778.50 : x
  2. Step 2: Convert to fraction form
    7,973.84/11,961.84 = 2,778.50/x
  3. Step 3: Cross multiply
    7,973.84x = 11,961.84 × 2,778.50
  4. Step 4: Simplify right side
    7,973.84x = 33,235,972.44
  5. Step 5: Solve for x
    x = 33,235,972.44/7,973.84
  6. Step 6: Final answer
    x = 4,168.13

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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.