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Finding the Fourth Proportional to 11,649.98, 16,077.03 and 6,344.93

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Solution

The fourth proportional to 11,649.98, 16,077.03 and 6,344.93 is: 8,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.98 : 16,077.03 = 6,344.93 : x
  2. Step 2: Convert to fraction form
    11,649.98/16,077.03 = 6,344.93/x
  3. Step 3: Cross multiply
    11,649.98x = 16,077.03 × 6,344.93
  4. Step 4: Simplify right side
    11,649.98x = 102,007,682.05
  5. Step 5: Solve for x
    x = 102,007,682.05/11,649.98
  6. Step 6: Final answer
    x = 8,756.04

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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.