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Finding the Fourth Proportional to 11,893.82, 16,415.50 and 6,857.14

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Solution

The fourth proportional to 11,893.82, 16,415.50 and 6,857.14 is: 9,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.82 : 16,415.50 = 6,857.14 : x
  2. Step 2: Convert to fraction form
    11,893.82/16,415.50 = 6,857.14/x
  3. Step 3: Cross multiply
    11,893.82x = 16,415.50 × 6,857.14
  4. Step 4: Simplify right side
    11,893.82x = 112,563,381.67
  5. Step 5: Solve for x
    x = 112,563,381.67/11,893.82
  6. Step 6: Final answer
    x = 9,464.02

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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.