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Finding the Fourth Proportional to 10,471.71, 14,451.26 and 5,995.92

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Solution

The fourth proportional to 10,471.71, 14,451.26 and 5,995.92 is: 8,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.71 : 14,451.26 = 5,995.92 : x
  2. Step 2: Convert to fraction form
    10,471.71/14,451.26 = 5,995.92/x
  3. Step 3: Cross multiply
    10,471.71x = 14,451.26 × 5,995.92
  4. Step 4: Simplify right side
    10,471.71x = 86,648,598.86
  5. Step 5: Solve for x
    x = 86,648,598.86/10,471.71
  6. Step 6: Final answer
    x = 8,274.54

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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.