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Finding the Fourth Proportional to 8,296.88, 11,447.43 and 5,776.16

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Solution

The fourth proportional to 8,296.88, 11,447.43 and 5,776.16 is: 7,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.88 : 11,447.43 = 5,776.16 : x
  2. Step 2: Convert to fraction form
    8,296.88/11,447.43 = 5,776.16/x
  3. Step 3: Cross multiply
    8,296.88x = 11,447.43 × 5,776.16
  4. Step 4: Simplify right side
    8,296.88x = 66,122,187.27
  5. Step 5: Solve for x
    x = 66,122,187.27/8,296.88
  6. Step 6: Final answer
    x = 7,969.52

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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.