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Finding the Fourth Proportional to 7,774.80, 11,662.14 and 4,485.78

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Solution

The fourth proportional to 7,774.80, 11,662.14 and 4,485.78 is: 6,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.80 : 11,662.14 = 4,485.78 : x
  2. Step 2: Convert to fraction form
    7,774.80/11,662.14 = 4,485.78/x
  3. Step 3: Cross multiply
    7,774.80x = 11,662.14 × 4,485.78
  4. Step 4: Simplify right side
    7,774.80x = 52,313,794.37
  5. Step 5: Solve for x
    x = 52,313,794.37/7,774.80
  6. Step 6: Final answer
    x = 6,728.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.