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Finding the Fourth Proportional to 8,278.56, 11,396.16 and 7,279.20

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Solution

The fourth proportional to 8,278.56, 11,396.16 and 7,279.20 is: 10,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.56 : 11,396.16 = 7,279.20 : x
  2. Step 2: Convert to fraction form
    8,278.56/11,396.16 = 7,279.20/x
  3. Step 3: Cross multiply
    8,278.56x = 11,396.16 × 7,279.20
  4. Step 4: Simplify right side
    8,278.56x = 82,954,927.87
  5. Step 5: Solve for x
    x = 82,954,927.87/8,278.56
  6. Step 6: Final answer
    x = 10,020.45

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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.