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Finding the Fourth Proportional to 7,777.35, 11,662.79 and 3,096.50

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Solution

The fourth proportional to 7,777.35, 11,662.79 and 3,096.50 is: 4,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.35 : 11,662.79 = 3,096.50 : x
  2. Step 2: Convert to fraction form
    7,777.35/11,662.79 = 3,096.50/x
  3. Step 3: Cross multiply
    7,777.35x = 11,662.79 × 3,096.50
  4. Step 4: Simplify right side
    7,777.35x = 36,113,755.44
  5. Step 5: Solve for x
    x = 36,113,755.44/7,777.35
  6. Step 6: Final answer
    x = 4,643.45

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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.