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Finding the Fourth Proportional to 11,893.68, 16,415.60 and 6,857.73

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Solution

The fourth proportional to 11,893.68, 16,415.60 and 6,857.73 is: 9,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.68 : 16,415.60 = 6,857.73 : x
  2. Step 2: Convert to fraction form
    11,893.68/16,415.60 = 6,857.73/x
  3. Step 3: Cross multiply
    11,893.68x = 16,415.60 × 6,857.73
  4. Step 4: Simplify right side
    11,893.68x = 112,573,718.30
  5. Step 5: Solve for x
    x = 112,573,718.30/11,893.68
  6. Step 6: Final answer
    x = 9,465.00

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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.