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Finding the Fourth Proportional to 10,396.22, 14,346.82 and 5,680.60

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Solution

The fourth proportional to 10,396.22, 14,346.82 and 5,680.60 is: 7,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.22 : 14,346.82 = 5,680.60 : x
  2. Step 2: Convert to fraction form
    10,396.22/14,346.82 = 5,680.60/x
  3. Step 3: Cross multiply
    10,396.22x = 14,346.82 × 5,680.60
  4. Step 4: Simplify right side
    10,396.22x = 81,498,516.93
  5. Step 5: Solve for x
    x = 81,498,516.93/10,396.22
  6. Step 6: Final answer
    x = 7,839.25

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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.