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Finding the Fourth Proportional to 10,965, 16,447.64 and 3,173.82

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Solution

The fourth proportional to 10,965, 16,447.64 and 3,173.82 is: 4,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 16,447.64 = 3,173.82 : x
  2. Step 2: Convert to fraction form
    10,965/16,447.64 = 3,173.82/x
  3. Step 3: Cross multiply
    10,965x = 16,447.64 × 3,173.82
  4. Step 4: Simplify right side
    10,965x = 52,201,848.78
  5. Step 5: Solve for x
    x = 52,201,848.78/10,965
  6. Step 6: Final answer
    x = 4,760.77

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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.