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Finding the Fourth Proportional to 11,511.36, 17,183.00 and 9,878.40

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Solution

The fourth proportional to 11,511.36, 17,183.00 and 9,878.40 is: 14,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.36 : 17,183.00 = 9,878.40 : x
  2. Step 2: Convert to fraction form
    11,511.36/17,183.00 = 9,878.40/x
  3. Step 3: Cross multiply
    11,511.36x = 17,183.00 × 9,878.40
  4. Step 4: Simplify right side
    11,511.36x = 169,740,497.81
  5. Step 5: Solve for x
    x = 169,740,497.81/11,511.36
  6. Step 6: Final answer
    x = 14,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.