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Finding the Fourth Proportional to 10,674.96, 14,731.20 and 5,959.68

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Solution

The fourth proportional to 10,674.96, 14,731.20 and 5,959.68 is: 8,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.96 : 14,731.20 = 5,959.68 : x
  2. Step 2: Convert to fraction form
    10,674.96/14,731.20 = 5,959.68/x
  3. Step 3: Cross multiply
    10,674.96x = 14,731.20 × 5,959.68
  4. Step 4: Simplify right side
    10,674.96x = 87,793,238.02
  5. Step 5: Solve for x
    x = 87,793,238.02/10,674.96
  6. Step 6: Final answer
    x = 8,224.22

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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.