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Finding the Fourth Proportional to 11,587.94, 17,382.81 and 3,797.54

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Solution

The fourth proportional to 11,587.94, 17,382.81 and 3,797.54 is: 5,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.94 : 17,382.81 = 3,797.54 : x
  2. Step 2: Convert to fraction form
    11,587.94/17,382.81 = 3,797.54/x
  3. Step 3: Cross multiply
    11,587.94x = 17,382.81 × 3,797.54
  4. Step 4: Simplify right side
    11,587.94x = 66,011,916.29
  5. Step 5: Solve for x
    x = 66,011,916.29/11,587.94
  6. Step 6: Final answer
    x = 5,696.60

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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.