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Finding the Fourth Proportional to 11,095.14, 16,633.88 and 6,409.82

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Solution

The fourth proportional to 11,095.14, 16,633.88 and 6,409.82 is: 9,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.14 : 16,633.88 = 6,409.82 : x
  2. Step 2: Convert to fraction form
    11,095.14/16,633.88 = 6,409.82/x
  3. Step 3: Cross multiply
    11,095.14x = 16,633.88 × 6,409.82
  4. Step 4: Simplify right side
    11,095.14x = 106,620,176.70
  5. Step 5: Solve for x
    x = 106,620,176.70/11,095.14
  6. Step 6: Final answer
    x = 9,609.63

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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.