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Finding the Fourth Proportional to 11,134.36, 16,702.08 and 9,183

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Solution

The fourth proportional to 11,134.36, 16,702.08 and 9,183 is: 13,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.36 : 16,702.08 = 9,183 : x
  2. Step 2: Convert to fraction form
    11,134.36/16,702.08 = 9,183/x
  3. Step 3: Cross multiply
    11,134.36x = 16,702.08 × 9,183
  4. Step 4: Simplify right side
    11,134.36x = 153,375,200.64
  5. Step 5: Solve for x
    x = 153,375,200.64/11,134.36
  6. Step 6: Final answer
    x = 13,774.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.