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Finding the Fourth Proportional to 10,425.21, 15,646.03 and 3,853.27

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Solution

The fourth proportional to 10,425.21, 15,646.03 and 3,853.27 is: 5,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.21 : 15,646.03 = 3,853.27 : x
  2. Step 2: Convert to fraction form
    10,425.21/15,646.03 = 3,853.27/x
  3. Step 3: Cross multiply
    10,425.21x = 15,646.03 × 3,853.27
  4. Step 4: Simplify right side
    10,425.21x = 60,288,387.94
  5. Step 5: Solve for x
    x = 60,288,387.94/10,425.21
  6. Step 6: Final answer
    x = 5,782.94

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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.