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Finding the Fourth Proportional to 11,618.94, 16,034.11 and 6,583.15

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Solution

The fourth proportional to 11,618.94, 16,034.11 and 6,583.15 is: 9,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.94 : 16,034.11 = 6,583.15 : x
  2. Step 2: Convert to fraction form
    11,618.94/16,034.11 = 6,583.15/x
  3. Step 3: Cross multiply
    11,618.94x = 16,034.11 × 6,583.15
  4. Step 4: Simplify right side
    11,618.94x = 105,554,951.25
  5. Step 5: Solve for x
    x = 105,554,951.25/11,618.94
  6. Step 6: Final answer
    x = 9,084.73

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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.