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Finding the Fourth Proportional to 11,572.92, 17,369.16 and 5,004.12

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Solution

The fourth proportional to 11,572.92, 17,369.16 and 5,004.12 is: 7,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.92 : 17,369.16 = 5,004.12 : x
  2. Step 2: Convert to fraction form
    11,572.92/17,369.16 = 5,004.12/x
  3. Step 3: Cross multiply
    11,572.92x = 17,369.16 × 5,004.12
  4. Step 4: Simplify right side
    11,572.92x = 86,917,360.94
  5. Step 5: Solve for x
    x = 86,917,360.94/11,572.92
  6. Step 6: Final answer
    x = 7,510.41

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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.