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Finding the Fourth Proportional to 10,474.70, 14,454.30 and 5,998.33

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Solution

The fourth proportional to 10,474.70, 14,454.30 and 5,998.33 is: 8,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.70 : 14,454.30 = 5,998.33 : x
  2. Step 2: Convert to fraction form
    10,474.70/14,454.30 = 5,998.33/x
  3. Step 3: Cross multiply
    10,474.70x = 14,454.30 × 5,998.33
  4. Step 4: Simplify right side
    10,474.70x = 86,701,625.18
  5. Step 5: Solve for x
    x = 86,701,625.18/10,474.70
  6. Step 6: Final answer
    x = 8,277.25

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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.