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Finding the Fourth Proportional to 11,732.91, 17,564.00 and 7,564.63

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Solution

The fourth proportional to 11,732.91, 17,564.00 and 7,564.63 is: 11,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.91 : 17,564.00 = 7,564.63 : x
  2. Step 2: Convert to fraction form
    11,732.91/17,564.00 = 7,564.63/x
  3. Step 3: Cross multiply
    11,732.91x = 17,564.00 × 7,564.63
  4. Step 4: Simplify right side
    11,732.91x = 132,865,141.01
  5. Step 5: Solve for x
    x = 132,865,141.01/11,732.91
  6. Step 6: Final answer
    x = 11,324.14

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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.