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Finding the Fourth Proportional to 11,381.58, 17,072.37 and 3,591

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Solution

The fourth proportional to 11,381.58, 17,072.37 and 3,591 is: 5,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.58 : 17,072.37 = 3,591 : x
  2. Step 2: Convert to fraction form
    11,381.58/17,072.37 = 3,591/x
  3. Step 3: Cross multiply
    11,381.58x = 17,072.37 × 3,591
  4. Step 4: Simplify right side
    11,381.58x = 61,306,880.67
  5. Step 5: Solve for x
    x = 61,306,880.67/11,381.58
  6. Step 6: Final answer
    x = 5,386.50

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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.