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Finding the Fourth Proportional to 7,728.72, 10,662.84 and 5,077.56

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Solution

The fourth proportional to 7,728.72, 10,662.84 and 5,077.56 is: 7,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.72 : 10,662.84 = 5,077.56 : x
  2. Step 2: Convert to fraction form
    7,728.72/10,662.84 = 5,077.56/x
  3. Step 3: Cross multiply
    7,728.72x = 10,662.84 × 5,077.56
  4. Step 4: Simplify right side
    7,728.72x = 54,141,209.87
  5. Step 5: Solve for x
    x = 54,141,209.87/7,728.72
  6. Step 6: Final answer
    x = 7,005.20

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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.