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Finding the Fourth Proportional to 11,792.19, 16,279.97 and 7,818.69

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Solution

The fourth proportional to 11,792.19, 16,279.97 and 7,818.69 is: 10,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.19 : 16,279.97 = 7,818.69 : x
  2. Step 2: Convert to fraction form
    11,792.19/16,279.97 = 7,818.69/x
  3. Step 3: Cross multiply
    11,792.19x = 16,279.97 × 7,818.69
  4. Step 4: Simplify right side
    11,792.19x = 127,288,038.64
  5. Step 5: Solve for x
    x = 127,288,038.64/11,792.19
  6. Step 6: Final answer
    x = 10,794.27

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