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Finding the Fourth Proportional to 10,680.58, 14,739.13 and 5,965.17

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Solution

The fourth proportional to 10,680.58, 14,739.13 and 5,965.17 is: 8,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.58 : 14,739.13 = 5,965.17 : x
  2. Step 2: Convert to fraction form
    10,680.58/14,739.13 = 5,965.17/x
  3. Step 3: Cross multiply
    10,680.58x = 14,739.13 × 5,965.17
  4. Step 4: Simplify right side
    10,680.58x = 87,921,416.10
  5. Step 5: Solve for x
    x = 87,921,416.10/10,680.58
  6. Step 6: Final answer
    x = 8,231.90

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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.