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Finding the Fourth Proportional to 11,792.69, 16,274.22 and 7,013.18

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Solution

The fourth proportional to 11,792.69, 16,274.22 and 7,013.18 is: 9,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.69 : 16,274.22 = 7,013.18 : x
  2. Step 2: Convert to fraction form
    11,792.69/16,274.22 = 7,013.18/x
  3. Step 3: Cross multiply
    11,792.69x = 16,274.22 × 7,013.18
  4. Step 4: Simplify right side
    11,792.69x = 114,134,048.61
  5. Step 5: Solve for x
    x = 114,134,048.61/11,792.69
  6. Step 6: Final answer
    x = 9,678.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.