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Finding the Fourth Proportional to 11,454, 17,183.16 and 3,246

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Solution

The fourth proportional to 11,454, 17,183.16 and 3,246 is: 4,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454 : 17,183.16 = 3,246 : x
  2. Step 2: Convert to fraction form
    11,454/17,183.16 = 3,246/x
  3. Step 3: Cross multiply
    11,454x = 17,183.16 × 3,246
  4. Step 4: Simplify right side
    11,454x = 55,776,537.36
  5. Step 5: Solve for x
    x = 55,776,537.36/11,454
  6. Step 6: Final answer
    x = 4,869.61

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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.