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Finding the Fourth Proportional to 11,617.28, 17,425.44 and 2,852

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Solution

The fourth proportional to 11,617.28, 17,425.44 and 2,852 is: 4,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.28 : 17,425.44 = 2,852 : x
  2. Step 2: Convert to fraction form
    11,617.28/17,425.44 = 2,852/x
  3. Step 3: Cross multiply
    11,617.28x = 17,425.44 × 2,852
  4. Step 4: Simplify right side
    11,617.28x = 49,697,354.88
  5. Step 5: Solve for x
    x = 49,697,354.88/11,617.28
  6. Step 6: Final answer
    x = 4,277.88

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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.