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Finding the Fourth Proportional to 10,396.49, 14,347.13 and 5,680.80

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Solution

The fourth proportional to 10,396.49, 14,347.13 and 5,680.80 is: 7,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.49 : 14,347.13 = 5,680.80 : x
  2. Step 2: Convert to fraction form
    10,396.49/14,347.13 = 5,680.80/x
  3. Step 3: Cross multiply
    10,396.49x = 14,347.13 × 5,680.80
  4. Step 4: Simplify right side
    10,396.49x = 81,503,147.70
  5. Step 5: Solve for x
    x = 81,503,147.70/10,396.49
  6. Step 6: Final answer
    x = 7,839.49

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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.