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Finding the Fourth Proportional to 11,588.46, 17,382.68 and 3,797.88

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Solution

The fourth proportional to 11,588.46, 17,382.68 and 3,797.88 is: 5,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.46 : 17,382.68 = 3,797.88 : x
  2. Step 2: Convert to fraction form
    11,588.46/17,382.68 = 3,797.88/x
  3. Step 3: Cross multiply
    11,588.46x = 17,382.68 × 3,797.88
  4. Step 4: Simplify right side
    11,588.46x = 66,017,332.72
  5. Step 5: Solve for x
    x = 66,017,332.72/11,588.46
  6. Step 6: Final answer
    x = 5,696.82

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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.