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Finding the Fourth Proportional to 13,511.12, 18,649.80 and 7,922

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Solution

The fourth proportional to 13,511.12, 18,649.80 and 7,922 is: 10,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.12 : 18,649.80 = 7,922 : x
  2. Step 2: Convert to fraction form
    13,511.12/18,649.80 = 7,922/x
  3. Step 3: Cross multiply
    13,511.12x = 18,649.80 × 7,922
  4. Step 4: Simplify right side
    13,511.12x = 147,743,715.60
  5. Step 5: Solve for x
    x = 147,743,715.60/13,511.12
  6. Step 6: Final answer
    x = 10,934.97

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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.