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Finding the Fourth Proportional to 11,859.96, 17,792.87 and 8,356.81

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Solution

The fourth proportional to 11,859.96, 17,792.87 and 8,356.81 is: 12,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.96 : 17,792.87 = 8,356.81 : x
  2. Step 2: Convert to fraction form
    11,859.96/17,792.87 = 8,356.81/x
  3. Step 3: Cross multiply
    11,859.96x = 17,792.87 × 8,356.81
  4. Step 4: Simplify right side
    11,859.96x = 148,691,636.64
  5. Step 5: Solve for x
    x = 148,691,636.64/11,859.96
  6. Step 6: Final answer
    x = 12,537.28

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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.