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Finding the Fourth Proportional to 11,619.66, 16,035.23 and 6,314.48

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Solution

The fourth proportional to 11,619.66, 16,035.23 and 6,314.48 is: 8,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.66 : 16,035.23 = 6,314.48 : x
  2. Step 2: Convert to fraction form
    11,619.66/16,035.23 = 6,314.48/x
  3. Step 3: Cross multiply
    11,619.66x = 16,035.23 × 6,314.48
  4. Step 4: Simplify right side
    11,619.66x = 101,254,112.32
  5. Step 5: Solve for x
    x = 101,254,112.32/11,619.66
  6. Step 6: Final answer
    x = 8,714.03

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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.