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Finding the Fourth Proportional to 8,656.29, 11,893.75 and 6,884.82

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Solution

The fourth proportional to 8,656.29, 11,893.75 and 6,884.82 is: 9,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.29 : 11,893.75 = 6,884.82 : x
  2. Step 2: Convert to fraction form
    8,656.29/11,893.75 = 6,884.82/x
  3. Step 3: Cross multiply
    8,656.29x = 11,893.75 × 6,884.82
  4. Step 4: Simplify right side
    8,656.29x = 81,886,310.66
  5. Step 5: Solve for x
    x = 81,886,310.66/8,656.29
  6. Step 6: Final answer
    x = 9,459.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.