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Finding the Fourth Proportional to 11,619.68, 16,035.24 and 6,314.49

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Solution

The fourth proportional to 11,619.68, 16,035.24 and 6,314.49 is: 8,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.68 : 16,035.24 = 6,314.49 : x
  2. Step 2: Convert to fraction form
    11,619.68/16,035.24 = 6,314.49/x
  3. Step 3: Cross multiply
    11,619.68x = 16,035.24 × 6,314.49
  4. Step 4: Simplify right side
    11,619.68x = 101,254,362.63
  5. Step 5: Solve for x
    x = 101,254,362.63/11,619.68
  6. Step 6: Final answer
    x = 8,714.04

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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.