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Finding the Fourth Proportional to 11,650.14, 16,077.59 and 6,614.19

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Solution

The fourth proportional to 11,650.14, 16,077.59 and 6,614.19 is: 9,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.14 : 16,077.59 = 6,614.19 : x
  2. Step 2: Convert to fraction form
    11,650.14/16,077.59 = 6,614.19/x
  3. Step 3: Cross multiply
    11,650.14x = 16,077.59 × 6,614.19
  4. Step 4: Simplify right side
    11,650.14x = 106,340,294.08
  5. Step 5: Solve for x
    x = 106,340,294.08/11,650.14
  6. Step 6: Final answer
    x = 9,127.81

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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.