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Finding the Fourth Proportional to 8,296.47, 11,460.32 and 6,629.56

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Solution

The fourth proportional to 8,296.47, 11,460.32 and 6,629.56 is: 9,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.47 : 11,460.32 = 6,629.56 : x
  2. Step 2: Convert to fraction form
    8,296.47/11,460.32 = 6,629.56/x
  3. Step 3: Cross multiply
    8,296.47x = 11,460.32 × 6,629.56
  4. Step 4: Simplify right side
    8,296.47x = 75,976,879.06
  5. Step 5: Solve for x
    x = 75,976,879.06/8,296.47
  6. Step 6: Final answer
    x = 9,157.74

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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.