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Finding the Fourth Proportional to 7,162.83, 9,884.93 and 4,019.13

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Solution

The fourth proportional to 7,162.83, 9,884.93 and 4,019.13 is: 5,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.83 : 9,884.93 = 4,019.13 : x
  2. Step 2: Convert to fraction form
    7,162.83/9,884.93 = 4,019.13/x
  3. Step 3: Cross multiply
    7,162.83x = 9,884.93 × 4,019.13
  4. Step 4: Simplify right side
    7,162.83x = 39,728,798.62
  5. Step 5: Solve for x
    x = 39,728,798.62/7,162.83
  6. Step 6: Final answer
    x = 5,546.52

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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.