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Finding the Fourth Proportional to 11,628.20, 17,442.16 and 2,863.20

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Solution

The fourth proportional to 11,628.20, 17,442.16 and 2,863.20 is: 4,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.20 : 17,442.16 = 2,863.20 : x
  2. Step 2: Convert to fraction form
    11,628.20/17,442.16 = 2,863.20/x
  3. Step 3: Cross multiply
    11,628.20x = 17,442.16 × 2,863.20
  4. Step 4: Simplify right side
    11,628.20x = 49,940,392.51
  5. Step 5: Solve for x
    x = 49,940,392.51/11,628.20
  6. Step 6: Final answer
    x = 4,294.77

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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.