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Finding the Fourth Proportional to 10,471.50, 14,449.46 and 5,994.99

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Solution

The fourth proportional to 10,471.50, 14,449.46 and 5,994.99 is: 8,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.50 : 14,449.46 = 5,994.99 : x
  2. Step 2: Convert to fraction form
    10,471.50/14,449.46 = 5,994.99/x
  3. Step 3: Cross multiply
    10,471.50x = 14,449.46 × 5,994.99
  4. Step 4: Simplify right side
    10,471.50x = 86,624,338.23
  5. Step 5: Solve for x
    x = 86,624,338.23/10,471.50
  6. Step 6: Final answer
    x = 8,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.