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Finding the Fourth Proportional to 10,952.28, 16,425.42 and 3,931

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Solution

The fourth proportional to 10,952.28, 16,425.42 and 3,931 is: 5,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.28 : 16,425.42 = 3,931 : x
  2. Step 2: Convert to fraction form
    10,952.28/16,425.42 = 3,931/x
  3. Step 3: Cross multiply
    10,952.28x = 16,425.42 × 3,931
  4. Step 4: Simplify right side
    10,952.28x = 64,568,326.02
  5. Step 5: Solve for x
    x = 64,568,326.02/10,952.28
  6. Step 6: Final answer
    x = 5,895.42

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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.