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Finding the Fourth Proportional to 10,674.94, 14,731.42 and 5,959.22

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Solution

The fourth proportional to 10,674.94, 14,731.42 and 5,959.22 is: 8,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.94 : 14,731.42 = 5,959.22 : x
  2. Step 2: Convert to fraction form
    10,674.94/14,731.42 = 5,959.22/x
  3. Step 3: Cross multiply
    10,674.94x = 14,731.42 × 5,959.22
  4. Step 4: Simplify right side
    10,674.94x = 87,787,742.90
  5. Step 5: Solve for x
    x = 87,787,742.90/10,674.94
  6. Step 6: Final answer
    x = 8,223.72

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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.