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Finding the Fourth Proportional to 11,792.70, 17,693.10 and 5,223.60

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Solution

The fourth proportional to 11,792.70, 17,693.10 and 5,223.60 is: 7,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.70 : 17,693.10 = 5,223.60 : x
  2. Step 2: Convert to fraction form
    11,792.70/17,693.10 = 5,223.60/x
  3. Step 3: Cross multiply
    11,792.70x = 17,693.10 × 5,223.60
  4. Step 4: Simplify right side
    11,792.70x = 92,421,677.16
  5. Step 5: Solve for x
    x = 92,421,677.16/11,792.70
  6. Step 6: Final answer
    x = 7,837.19

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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.