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Finding the Fourth Proportional to 10,674.40, 14,730.96 and 5,959.20

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Solution

The fourth proportional to 10,674.40, 14,730.96 and 5,959.20 is: 8,223.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.40 : 14,730.96 = 5,959.20 : x
  2. Step 2: Convert to fraction form
    10,674.40/14,730.96 = 5,959.20/x
  3. Step 3: Cross multiply
    10,674.40x = 14,730.96 × 5,959.20
  4. Step 4: Simplify right side
    10,674.40x = 87,784,736.83
  5. Step 5: Solve for x
    x = 87,784,736.83/10,674.40
  6. Step 6: Final answer
    x = 8,223.86

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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.