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Finding the Fourth Proportional to 10,474.82, 14,456.07 and 5,999.67

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Solution

The fourth proportional to 10,474.82, 14,456.07 and 5,999.67 is: 8,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.82 : 14,456.07 = 5,999.67 : x
  2. Step 2: Convert to fraction form
    10,474.82/14,456.07 = 5,999.67/x
  3. Step 3: Cross multiply
    10,474.82x = 14,456.07 × 5,999.67
  4. Step 4: Simplify right side
    10,474.82x = 86,731,649.50
  5. Step 5: Solve for x
    x = 86,731,649.50/10,474.82
  6. Step 6: Final answer
    x = 8,280.01

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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.