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Finding the Fourth Proportional to 8,200.86, 12,303.24 and 2,654.20

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Solution

The fourth proportional to 8,200.86, 12,303.24 and 2,654.20 is: 3,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.86 : 12,303.24 = 2,654.20 : x
  2. Step 2: Convert to fraction form
    8,200.86/12,303.24 = 2,654.20/x
  3. Step 3: Cross multiply
    8,200.86x = 12,303.24 × 2,654.20
  4. Step 4: Simplify right side
    8,200.86x = 32,655,284.03
  5. Step 5: Solve for x
    x = 32,655,284.03/8,200.86
  6. Step 6: Final answer
    x = 3,981.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.