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Finding the Fourth Proportional to 8,172.16, 11,278.24 and 6,843.58

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Solution

The fourth proportional to 8,172.16, 11,278.24 and 6,843.58 is: 9,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.16 : 11,278.24 = 6,843.58 : x
  2. Step 2: Convert to fraction form
    8,172.16/11,278.24 = 6,843.58/x
  3. Step 3: Cross multiply
    8,172.16x = 11,278.24 × 6,843.58
  4. Step 4: Simplify right side
    8,172.16x = 77,183,537.70
  5. Step 5: Solve for x
    x = 77,183,537.70/8,172.16
  6. Step 6: Final answer
    x = 9,444.69

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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.