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Finding the Fourth Proportional to 11,649.94, 16,077.12 and 6,614.08

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Solution

The fourth proportional to 11,649.94, 16,077.12 and 6,614.08 is: 9,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.94 : 16,077.12 = 6,614.08 : x
  2. Step 2: Convert to fraction form
    11,649.94/16,077.12 = 6,614.08/x
  3. Step 3: Cross multiply
    11,649.94x = 16,077.12 × 6,614.08
  4. Step 4: Simplify right side
    11,649.94x = 106,335,357.85
  5. Step 5: Solve for x
    x = 106,335,357.85/11,649.94
  6. Step 6: Final answer
    x = 9,127.55

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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.