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Finding the Fourth Proportional to 10,885, 16,327.58 and 2,677

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Solution

The fourth proportional to 10,885, 16,327.58 and 2,677 is: 4,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885 : 16,327.58 = 2,677 : x
  2. Step 2: Convert to fraction form
    10,885/16,327.58 = 2,677/x
  3. Step 3: Cross multiply
    10,885x = 16,327.58 × 2,677
  4. Step 4: Simplify right side
    10,885x = 43,708,931.66
  5. Step 5: Solve for x
    x = 43,708,931.66/10,885
  6. Step 6: Final answer
    x = 4,015.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.