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Finding the Fourth Proportional to 8,279.65, 11,431.02 and 5,697.03

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Solution

The fourth proportional to 8,279.65, 11,431.02 and 5,697.03 is: 7,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.65 : 11,431.02 = 5,697.03 : x
  2. Step 2: Convert to fraction form
    8,279.65/11,431.02 = 5,697.03/x
  3. Step 3: Cross multiply
    8,279.65x = 11,431.02 × 5,697.03
  4. Step 4: Simplify right side
    8,279.65x = 65,122,928.10
  5. Step 5: Solve for x
    x = 65,122,928.10/8,279.65
  6. Step 6: Final answer
    x = 7,865.42

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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.