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Finding the Fourth Proportional to 10,396.55, 14,347.25 and 5,680.83

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Solution

The fourth proportional to 10,396.55, 14,347.25 and 5,680.83 is: 7,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.55 : 14,347.25 = 5,680.83 : x
  2. Step 2: Convert to fraction form
    10,396.55/14,347.25 = 5,680.83/x
  3. Step 3: Cross multiply
    10,396.55x = 14,347.25 × 5,680.83
  4. Step 4: Simplify right side
    10,396.55x = 81,504,334.92
  5. Step 5: Solve for x
    x = 81,504,334.92/10,396.55
  6. Step 6: Final answer
    x = 7,839.55

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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.