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Finding the Fourth Proportional to 11,619.40, 16,034.86 and 6,314.21

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Solution

The fourth proportional to 11,619.40, 16,034.86 and 6,314.21 is: 8,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.40 : 16,034.86 = 6,314.21 : x
  2. Step 2: Convert to fraction form
    11,619.40/16,034.86 = 6,314.21/x
  3. Step 3: Cross multiply
    11,619.40x = 16,034.86 × 6,314.21
  4. Step 4: Simplify right side
    11,619.40x = 101,247,473.36
  5. Step 5: Solve for x
    x = 101,247,473.36/11,619.40
  6. Step 6: Final answer
    x = 8,713.66

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