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Finding the Fourth Proportional to 7,983, 11,016.81 and 4,626.36

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Solution

The fourth proportional to 7,983, 11,016.81 and 4,626.36 is: 6,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 11,016.81 = 4,626.36 : x
  2. Step 2: Convert to fraction form
    7,983/11,016.81 = 4,626.36/x
  3. Step 3: Cross multiply
    7,983x = 11,016.81 × 4,626.36
  4. Step 4: Simplify right side
    7,983x = 50,967,729.11
  5. Step 5: Solve for x
    x = 50,967,729.11/7,983
  6. Step 6: Final answer
    x = 6,384.53

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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.