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Finding the Fourth Proportional to 8,463.92, 12,701.37 and 3,786.80

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Solution

The fourth proportional to 8,463.92, 12,701.37 and 3,786.80 is: 5,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.92 : 12,701.37 = 3,786.80 : x
  2. Step 2: Convert to fraction form
    8,463.92/12,701.37 = 3,786.80/x
  3. Step 3: Cross multiply
    8,463.92x = 12,701.37 × 3,786.80
  4. Step 4: Simplify right side
    8,463.92x = 48,097,547.92
  5. Step 5: Solve for x
    x = 48,097,547.92/8,463.92
  6. Step 6: Final answer
    x = 5,682.66

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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.