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Finding the Fourth Proportional to 11,309.90, 16,959.46 and 5,069.97

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Solution

The fourth proportional to 11,309.90, 16,959.46 and 5,069.97 is: 7,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.90 : 16,959.46 = 5,069.97 : x
  2. Step 2: Convert to fraction form
    11,309.90/16,959.46 = 5,069.97/x
  3. Step 3: Cross multiply
    11,309.90x = 16,959.46 × 5,069.97
  4. Step 4: Simplify right side
    11,309.90x = 85,983,953.42
  5. Step 5: Solve for x
    x = 85,983,953.42/11,309.90
  6. Step 6: Final answer
    x = 7,602.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.