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Finding the Fourth Proportional to 7,153.36, 9,866.67 and 5,033.32

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Solution

The fourth proportional to 7,153.36, 9,866.67 and 5,033.32 is: 6,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.36 : 9,866.67 = 5,033.32 : x
  2. Step 2: Convert to fraction form
    7,153.36/9,866.67 = 5,033.32/x
  3. Step 3: Cross multiply
    7,153.36x = 9,866.67 × 5,033.32
  4. Step 4: Simplify right side
    7,153.36x = 49,662,107.44
  5. Step 5: Solve for x
    x = 49,662,107.44/7,153.36
  6. Step 6: Final answer
    x = 6,942.49

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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.