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Finding the Fourth Proportional to 11,588.94, 17,385.83 and 3,797.14

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Solution

The fourth proportional to 11,588.94, 17,385.83 and 3,797.14 is: 5,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.94 : 17,385.83 = 3,797.14 : x
  2. Step 2: Convert to fraction form
    11,588.94/17,385.83 = 3,797.14/x
  3. Step 3: Cross multiply
    11,588.94x = 17,385.83 × 3,797.14
  4. Step 4: Simplify right side
    11,588.94x = 66,016,430.53
  5. Step 5: Solve for x
    x = 66,016,430.53/11,588.94
  6. Step 6: Final answer
    x = 5,696.50

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Why These Related Problems?

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