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Finding the Fourth Proportional to 11,627.01, 16,018.16 and 8,084.07

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Solution

The fourth proportional to 11,627.01, 16,018.16 and 8,084.07 is: 11,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.01 : 16,018.16 = 8,084.07 : x
  2. Step 2: Convert to fraction form
    11,627.01/16,018.16 = 8,084.07/x
  3. Step 3: Cross multiply
    11,627.01x = 16,018.16 × 8,084.07
  4. Step 4: Simplify right side
    11,627.01x = 129,491,886.29
  5. Step 5: Solve for x
    x = 129,491,886.29/11,627.01
  6. Step 6: Final answer
    x = 11,137.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.