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Finding the Fourth Proportional to 8,301.02, 12,451.50 and 3,856.25

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Solution

The fourth proportional to 8,301.02, 12,451.50 and 3,856.25 is: 5,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.02 : 12,451.50 = 3,856.25 : x
  2. Step 2: Convert to fraction form
    8,301.02/12,451.50 = 3,856.25/x
  3. Step 3: Cross multiply
    8,301.02x = 12,451.50 × 3,856.25
  4. Step 4: Simplify right side
    8,301.02x = 48,016,034.62
  5. Step 5: Solve for x
    x = 48,016,034.62/8,301.02
  6. Step 6: Final answer
    x = 5,784.36

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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.