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Finding the Fourth Proportional to 11,596, 17,394 and 5,440

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Solution

The fourth proportional to 11,596, 17,394 and 5,440 is: 8,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 17,394 = 5,440 : x
  2. Step 2: Convert to fraction form
    11,596/17,394 = 5,440/x
  3. Step 3: Cross multiply
    11,596x = 17,394 × 5,440
  4. Step 4: Simplify right side
    11,596x = 94,623,360
  5. Step 5: Solve for x
    x = 94,623,360/11,596
  6. Step 6: Final answer
    x = 8,160

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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.