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Finding the Fourth Proportional to 11,626.14, 16,043.73 and 6,590.82

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Solution

The fourth proportional to 11,626.14, 16,043.73 and 6,590.82 is: 9,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.14 : 16,043.73 = 6,590.82 : x
  2. Step 2: Convert to fraction form
    11,626.14/16,043.73 = 6,590.82/x
  3. Step 3: Cross multiply
    11,626.14x = 16,043.73 × 6,590.82
  4. Step 4: Simplify right side
    11,626.14x = 105,741,336.56
  5. Step 5: Solve for x
    x = 105,741,336.56/11,626.14
  6. Step 6: Final answer
    x = 9,095.14

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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.