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Finding the Fourth Proportional to 7,162.72, 9,884.10 and 4,179.40

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Solution

The fourth proportional to 7,162.72, 9,884.10 and 4,179.40 is: 5,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.72 : 9,884.10 = 4,179.40 : x
  2. Step 2: Convert to fraction form
    7,162.72/9,884.10 = 4,179.40/x
  3. Step 3: Cross multiply
    7,162.72x = 9,884.10 × 4,179.40
  4. Step 4: Simplify right side
    7,162.72x = 41,309,607.54
  5. Step 5: Solve for x
    x = 41,309,607.54/7,162.72
  6. Step 6: Final answer
    x = 5,767.31

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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.