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Finding the Fourth Proportional to 8,205.18, 12,318.71 and 6,980.46

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Solution

The fourth proportional to 8,205.18, 12,318.71 and 6,980.46 is: 10,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.18 : 12,318.71 = 6,980.46 : x
  2. Step 2: Convert to fraction form
    8,205.18/12,318.71 = 6,980.46/x
  3. Step 3: Cross multiply
    8,205.18x = 12,318.71 × 6,980.46
  4. Step 4: Simplify right side
    8,205.18x = 85,990,227.50
  5. Step 5: Solve for x
    x = 85,990,227.50/8,205.18
  6. Step 6: Final answer
    x = 10,479.99

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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.