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Finding the Fourth Proportional to 11,532.38, 17,296.99 and 4,507.50

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Solution

The fourth proportional to 11,532.38, 17,296.99 and 4,507.50 is: 6,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.38 : 17,296.99 = 4,507.50 : x
  2. Step 2: Convert to fraction form
    11,532.38/17,296.99 = 4,507.50/x
  3. Step 3: Cross multiply
    11,532.38x = 17,296.99 × 4,507.50
  4. Step 4: Simplify right side
    11,532.38x = 77,966,164.08
  5. Step 5: Solve for x
    x = 77,966,164.08/11,532.38
  6. Step 6: Final answer
    x = 6,760.63

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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.