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Finding the Fourth Proportional to 7,588.56, 11,382.49 and 2,659.31

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Solution

The fourth proportional to 7,588.56, 11,382.49 and 2,659.31 is: 3,988.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.56 : 11,382.49 = 2,659.31 : x
  2. Step 2: Convert to fraction form
    7,588.56/11,382.49 = 2,659.31/x
  3. Step 3: Cross multiply
    7,588.56x = 11,382.49 × 2,659.31
  4. Step 4: Simplify right side
    7,588.56x = 30,269,569.48
  5. Step 5: Solve for x
    x = 30,269,569.48/7,588.56
  6. Step 6: Final answer
    x = 3,988.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.