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Finding the Fourth Proportional to 11,591.82, 17,386.81 and 3,271.50

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Solution

The fourth proportional to 11,591.82, 17,386.81 and 3,271.50 is: 4,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.82 : 17,386.81 = 3,271.50 : x
  2. Step 2: Convert to fraction form
    11,591.82/17,386.81 = 3,271.50/x
  3. Step 3: Cross multiply
    11,591.82x = 17,386.81 × 3,271.50
  4. Step 4: Simplify right side
    11,591.82x = 56,880,948.92
  5. Step 5: Solve for x
    x = 56,880,948.92/11,591.82
  6. Step 6: Final answer
    x = 4,906.99

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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.