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Finding the Fourth Proportional to 11,616.89, 16,034.15 and 6,584.08

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Solution

The fourth proportional to 11,616.89, 16,034.15 and 6,584.08 is: 9,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.89 : 16,034.15 = 6,584.08 : x
  2. Step 2: Convert to fraction form
    11,616.89/16,034.15 = 6,584.08/x
  3. Step 3: Cross multiply
    11,616.89x = 16,034.15 × 6,584.08
  4. Step 4: Simplify right side
    11,616.89x = 105,570,102.71
  5. Step 5: Solve for x
    x = 105,570,102.71/11,616.89
  6. Step 6: Final answer
    x = 9,087.64

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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.