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Finding the Fourth Proportional to 10,396.32, 14,347.23 and 5,680.89

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Solution

The fourth proportional to 10,396.32, 14,347.23 and 5,680.89 is: 7,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.32 : 14,347.23 = 5,680.89 : x
  2. Step 2: Convert to fraction form
    10,396.32/14,347.23 = 5,680.89/x
  3. Step 3: Cross multiply
    10,396.32x = 14,347.23 × 5,680.89
  4. Step 4: Simplify right side
    10,396.32x = 81,505,035.43
  5. Step 5: Solve for x
    x = 81,505,035.43/10,396.32
  6. Step 6: Final answer
    x = 7,839.80

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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.