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Finding the Fourth Proportional to 10,682.64, 14,741.56 and 5,966

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Solution

The fourth proportional to 10,682.64, 14,741.56 and 5,966 is: 8,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.64 : 14,741.56 = 5,966 : x
  2. Step 2: Convert to fraction form
    10,682.64/14,741.56 = 5,966/x
  3. Step 3: Cross multiply
    10,682.64x = 14,741.56 × 5,966
  4. Step 4: Simplify right side
    10,682.64x = 87,948,146.96
  5. Step 5: Solve for x
    x = 87,948,146.96/10,682.64
  6. Step 6: Final answer
    x = 8,232.81

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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.