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Finding the Fourth Proportional to 10,679.98, 14,738.07 and 5,899.85

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Solution

The fourth proportional to 10,679.98, 14,738.07 and 5,899.85 is: 8,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.98 : 14,738.07 = 5,899.85 : x
  2. Step 2: Convert to fraction form
    10,679.98/14,738.07 = 5,899.85/x
  3. Step 3: Cross multiply
    10,679.98x = 14,738.07 × 5,899.85
  4. Step 4: Simplify right side
    10,679.98x = 86,952,383.87
  5. Step 5: Solve for x
    x = 86,952,383.87/10,679.98
  6. Step 6: Final answer
    x = 8,141.62

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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.