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Finding the Fourth Proportional to 7,774.43, 10,728.64 and 4,237.56

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Solution

The fourth proportional to 7,774.43, 10,728.64 and 4,237.56 is: 5,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.43 : 10,728.64 = 4,237.56 : x
  2. Step 2: Convert to fraction form
    7,774.43/10,728.64 = 4,237.56/x
  3. Step 3: Cross multiply
    7,774.43x = 10,728.64 × 4,237.56
  4. Step 4: Simplify right side
    7,774.43x = 45,463,293.13
  5. Step 5: Solve for x
    x = 45,463,293.13/7,774.43
  6. Step 6: Final answer
    x = 5,847.80

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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.