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Finding the Fourth Proportional to 11,620.69, 16,034.57 and 6,583.87

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Solution

The fourth proportional to 11,620.69, 16,034.57 and 6,583.87 is: 9,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.69 : 16,034.57 = 6,583.87 : x
  2. Step 2: Convert to fraction form
    11,620.69/16,034.57 = 6,583.87/x
  3. Step 3: Cross multiply
    11,620.69x = 16,034.57 × 6,583.87
  4. Step 4: Simplify right side
    11,620.69x = 105,569,451.38
  5. Step 5: Solve for x
    x = 105,569,451.38/11,620.69
  6. Step 6: Final answer
    x = 9,084.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.