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Finding the Fourth Proportional to 11,619.09, 16,034.49 and 6,314.00

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Solution

The fourth proportional to 11,619.09, 16,034.49 and 6,314.00 is: 8,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.09 : 16,034.49 = 6,314.00 : x
  2. Step 2: Convert to fraction form
    11,619.09/16,034.49 = 6,314.00/x
  3. Step 3: Cross multiply
    11,619.09x = 16,034.49 × 6,314.00
  4. Step 4: Simplify right side
    11,619.09x = 101,241,689.69
  5. Step 5: Solve for x
    x = 101,241,689.69/11,619.09
  6. Step 6: Final answer
    x = 8,713.39

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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.