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Finding the Fourth Proportional to 7,774.24, 10,728.46 and 4,237.48

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Solution

The fourth proportional to 7,774.24, 10,728.46 and 4,237.48 is: 5,847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.24 : 10,728.46 = 4,237.48 : x
  2. Step 2: Convert to fraction form
    7,774.24/10,728.46 = 4,237.48/x
  3. Step 3: Cross multiply
    7,774.24x = 10,728.46 × 4,237.48
  4. Step 4: Simplify right side
    7,774.24x = 45,461,634.68
  5. Step 5: Solve for x
    x = 45,461,634.68/7,774.24
  6. Step 6: Final answer
    x = 5,847.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.