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Finding the Fourth Proportional to 11,619.57, 16,034.55 and 6,314.28

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Solution

The fourth proportional to 11,619.57, 16,034.55 and 6,314.28 is: 8,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.57 : 16,034.55 = 6,314.28 : x
  2. Step 2: Convert to fraction form
    11,619.57/16,034.55 = 6,314.28/x
  3. Step 3: Cross multiply
    11,619.57x = 16,034.55 × 6,314.28
  4. Step 4: Simplify right side
    11,619.57x = 101,246,638.37
  5. Step 5: Solve for x
    x = 101,246,638.37/11,619.57
  6. Step 6: Final answer
    x = 8,713.46

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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.