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Finding the Fourth Proportional to 7,774.56, 10,728.54 and 4,237.65

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Solution

The fourth proportional to 7,774.56, 10,728.54 and 4,237.65 is: 5,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.56 : 10,728.54 = 4,237.65 : x
  2. Step 2: Convert to fraction form
    7,774.56/10,728.54 = 4,237.65/x
  3. Step 3: Cross multiply
    7,774.56x = 10,728.54 × 4,237.65
  4. Step 4: Simplify right side
    7,774.56x = 45,463,797.53
  5. Step 5: Solve for x
    x = 45,463,797.53/7,774.56
  6. Step 6: Final answer
    x = 5,847.76

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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.