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Finding the Fourth Proportional to 11,619.51, 16,034.99 and 6,314.32

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Solution

The fourth proportional to 11,619.51, 16,034.99 and 6,314.32 is: 8,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.51 : 16,034.99 = 6,314.32 : x
  2. Step 2: Convert to fraction form
    11,619.51/16,034.99 = 6,314.32/x
  3. Step 3: Cross multiply
    11,619.51x = 16,034.99 × 6,314.32
  4. Step 4: Simplify right side
    11,619.51x = 101,250,058.06
  5. Step 5: Solve for x
    x = 101,250,058.06/11,619.51
  6. Step 6: Final answer
    x = 8,713.80

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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.