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Finding the Fourth Proportional to 10,953.28, 16,426.92 and 3,932

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Solution

The fourth proportional to 10,953.28, 16,426.92 and 3,932 is: 5,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.28 : 16,426.92 = 3,932 : x
  2. Step 2: Convert to fraction form
    10,953.28/16,426.92 = 3,932/x
  3. Step 3: Cross multiply
    10,953.28x = 16,426.92 × 3,932
  4. Step 4: Simplify right side
    10,953.28x = 64,590,649.44
  5. Step 5: Solve for x
    x = 64,590,649.44/10,953.28
  6. Step 6: Final answer
    x = 5,896.92

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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.