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Finding the Fourth Proportional to 8,480.40, 12,727.80 and 3,807.60

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Solution

The fourth proportional to 8,480.40, 12,727.80 and 3,807.60 is: 5,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.40 : 12,727.80 = 3,807.60 : x
  2. Step 2: Convert to fraction form
    8,480.40/12,727.80 = 3,807.60/x
  3. Step 3: Cross multiply
    8,480.40x = 12,727.80 × 3,807.60
  4. Step 4: Simplify right side
    8,480.40x = 48,462,371.28
  5. Step 5: Solve for x
    x = 48,462,371.28/8,480.40
  6. Step 6: Final answer
    x = 5,714.63

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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.