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Finding the Fourth Proportional to 10,472, 14,451.39 and 5,995.82

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Solution

The fourth proportional to 10,472, 14,451.39 and 5,995.82 is: 8,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472 : 14,451.39 = 5,995.82 : x
  2. Step 2: Convert to fraction form
    10,472/14,451.39 = 5,995.82/x
  3. Step 3: Cross multiply
    10,472x = 14,451.39 × 5,995.82
  4. Step 4: Simplify right side
    10,472x = 86,647,933.19
  5. Step 5: Solve for x
    x = 86,647,933.19/10,472
  6. Step 6: Final answer
    x = 8,274.25

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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.