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Finding the Fourth Proportional to 7,973.27, 11,002.94 and 4,616.23

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Solution

The fourth proportional to 7,973.27, 11,002.94 and 4,616.23 is: 6,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.27 : 11,002.94 = 4,616.23 : x
  2. Step 2: Convert to fraction form
    7,973.27/11,002.94 = 4,616.23/x
  3. Step 3: Cross multiply
    7,973.27x = 11,002.94 × 4,616.23
  4. Step 4: Simplify right side
    7,973.27x = 50,792,046.70
  5. Step 5: Solve for x
    x = 50,792,046.70/7,973.27
  6. Step 6: Final answer
    x = 6,370.29

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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.