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Finding the Fourth Proportional to 7,160.42, 10,728.48 and 3,464.39

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Solution

The fourth proportional to 7,160.42, 10,728.48 and 3,464.39 is: 5,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.42 : 10,728.48 = 3,464.39 : x
  2. Step 2: Convert to fraction form
    7,160.42/10,728.48 = 3,464.39/x
  3. Step 3: Cross multiply
    7,160.42x = 10,728.48 × 3,464.39
  4. Step 4: Simplify right side
    7,160.42x = 37,167,638.83
  5. Step 5: Solve for x
    x = 37,167,638.83/7,160.42
  6. Step 6: Final answer
    x = 5,190.71

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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.