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Finding the Fourth Proportional to 8,205.45, 12,244.12 and 7,321.87

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Solution

The fourth proportional to 8,205.45, 12,244.12 and 7,321.87 is: 10,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.45 : 12,244.12 = 7,321.87 : x
  2. Step 2: Convert to fraction form
    8,205.45/12,244.12 = 7,321.87/x
  3. Step 3: Cross multiply
    8,205.45x = 12,244.12 × 7,321.87
  4. Step 4: Simplify right side
    8,205.45x = 89,649,854.90
  5. Step 5: Solve for x
    x = 89,649,854.90/8,205.45
  6. Step 6: Final answer
    x = 10,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.