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Finding the Fourth Proportional to 11,619.57, 16,034.40 and 6,314.38

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Solution

The fourth proportional to 11,619.57, 16,034.40 and 6,314.38 is: 8,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.57 : 16,034.40 = 6,314.38 : x
  2. Step 2: Convert to fraction form
    11,619.57/16,034.40 = 6,314.38/x
  3. Step 3: Cross multiply
    11,619.57x = 16,034.40 × 6,314.38
  4. Step 4: Simplify right side
    11,619.57x = 101,247,294.67
  5. Step 5: Solve for x
    x = 101,247,294.67/11,619.57
  6. Step 6: Final answer
    x = 8,713.51

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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.