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Finding the Fourth Proportional to 7,162.56, 9,879.84 and 5,175.36

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Solution

The fourth proportional to 7,162.56, 9,879.84 and 5,175.36 is: 7,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.56 : 9,879.84 = 5,175.36 : x
  2. Step 2: Convert to fraction form
    7,162.56/9,879.84 = 5,175.36/x
  3. Step 3: Cross multiply
    7,162.56x = 9,879.84 × 5,175.36
  4. Step 4: Simplify right side
    7,162.56x = 51,131,728.74
  5. Step 5: Solve for x
    x = 51,131,728.74/7,162.56
  6. Step 6: Final answer
    x = 7,138.75

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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.