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Finding the Fourth Proportional to 11,955.20, 16,498.49 and 6,649.70

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Solution

The fourth proportional to 11,955.20, 16,498.49 and 6,649.70 is: 9,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.20 : 16,498.49 = 6,649.70 : x
  2. Step 2: Convert to fraction form
    11,955.20/16,498.49 = 6,649.70/x
  3. Step 3: Cross multiply
    11,955.20x = 16,498.49 × 6,649.70
  4. Step 4: Simplify right side
    11,955.20x = 109,709,893.21
  5. Step 5: Solve for x
    x = 109,709,893.21/11,955.20
  6. Step 6: Final answer
    x = 9,176.75

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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.