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Finding the Fourth Proportional to 7,336, 11,004 and 2,141.92

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Solution

The fourth proportional to 7,336, 11,004 and 2,141.92 is: 3,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336 : 11,004 = 2,141.92 : x
  2. Step 2: Convert to fraction form
    7,336/11,004 = 2,141.92/x
  3. Step 3: Cross multiply
    7,336x = 11,004 × 2,141.92
  4. Step 4: Simplify right side
    7,336x = 23,569,687.68
  5. Step 5: Solve for x
    x = 23,569,687.68/7,336
  6. Step 6: Final answer
    x = 3,212.88

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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.