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Finding the Fourth Proportional to 7,983.66, 11,008.34 and 6,722.80

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Solution

The fourth proportional to 7,983.66, 11,008.34 and 6,722.80 is: 9,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.66 : 11,008.34 = 6,722.80 : x
  2. Step 2: Convert to fraction form
    7,983.66/11,008.34 = 6,722.80/x
  3. Step 3: Cross multiply
    7,983.66x = 11,008.34 × 6,722.80
  4. Step 4: Simplify right side
    7,983.66x = 74,006,832.23
  5. Step 5: Solve for x
    x = 74,006,832.23/7,983.66
  6. Step 6: Final answer
    x = 9,269.78

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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.