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Finding the Fourth Proportional to 11,584.68, 15,986.07 and 6,549.09

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Solution

The fourth proportional to 11,584.68, 15,986.07 and 6,549.09 is: 9,037.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.68 : 15,986.07 = 6,549.09 : x
  2. Step 2: Convert to fraction form
    11,584.68/15,986.07 = 6,549.09/x
  3. Step 3: Cross multiply
    11,584.68x = 15,986.07 × 6,549.09
  4. Step 4: Simplify right side
    11,584.68x = 104,694,211.18
  5. Step 5: Solve for x
    x = 104,694,211.18/11,584.68
  6. Step 6: Final answer
    x = 9,037.30

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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.