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Finding the Fourth Proportional to 8,382.04, 12,576.70 and 3,189.40

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Solution

The fourth proportional to 8,382.04, 12,576.70 and 3,189.40 is: 4,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.04 : 12,576.70 = 3,189.40 : x
  2. Step 2: Convert to fraction form
    8,382.04/12,576.70 = 3,189.40/x
  3. Step 3: Cross multiply
    8,382.04x = 12,576.70 × 3,189.40
  4. Step 4: Simplify right side
    8,382.04x = 40,112,126.98
  5. Step 5: Solve for x
    x = 40,112,126.98/8,382.04
  6. Step 6: Final answer
    x = 4,785.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.