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Finding the Fourth Proportional to 10,679.76, 14,738.02 and 5,900.04

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Solution

The fourth proportional to 10,679.76, 14,738.02 and 5,900.04 is: 8,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.76 : 14,738.02 = 5,900.04 : x
  2. Step 2: Convert to fraction form
    10,679.76/14,738.02 = 5,900.04/x
  3. Step 3: Cross multiply
    10,679.76x = 14,738.02 × 5,900.04
  4. Step 4: Simplify right side
    10,679.76x = 86,954,839.92
  5. Step 5: Solve for x
    x = 86,954,839.92/10,679.76
  6. Step 6: Final answer
    x = 8,142.02

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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.