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Finding the Fourth Proportional to 8,296.30, 11,454.40 and 6,378.72

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Solution

The fourth proportional to 8,296.30, 11,454.40 and 6,378.72 is: 8,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.30 : 11,454.40 = 6,378.72 : x
  2. Step 2: Convert to fraction form
    8,296.30/11,454.40 = 6,378.72/x
  3. Step 3: Cross multiply
    8,296.30x = 11,454.40 × 6,378.72
  4. Step 4: Simplify right side
    8,296.30x = 73,064,410.37
  5. Step 5: Solve for x
    x = 73,064,410.37/8,296.30
  6. Step 6: Final answer
    x = 8,806.87

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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.