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Finding the Fourth Proportional to 8,196.80, 12,285.60 and 3,805

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Solution

The fourth proportional to 8,196.80, 12,285.60 and 3,805 is: 5,703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.80 : 12,285.60 = 3,805 : x
  2. Step 2: Convert to fraction form
    8,196.80/12,285.60 = 3,805/x
  3. Step 3: Cross multiply
    8,196.80x = 12,285.60 × 3,805
  4. Step 4: Simplify right side
    8,196.80x = 46,746,708
  5. Step 5: Solve for x
    x = 46,746,708/8,196.80
  6. Step 6: Final answer
    x = 5,703.04

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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.