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Finding the Fourth Proportional to 11,007.75, 16,514.06 and 4,082.25

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Solution

The fourth proportional to 11,007.75, 16,514.06 and 4,082.25 is: 6,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.75 : 16,514.06 = 4,082.25 : x
  2. Step 2: Convert to fraction form
    11,007.75/16,514.06 = 4,082.25/x
  3. Step 3: Cross multiply
    11,007.75x = 16,514.06 × 4,082.25
  4. Step 4: Simplify right side
    11,007.75x = 67,414,501.02
  5. Step 5: Solve for x
    x = 67,414,501.02/11,007.75
  6. Step 6: Final answer
    x = 6,124.28

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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.