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Finding the Fourth Proportional to 8,310.86, 12,468.65 and 3,384.03

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Solution

The fourth proportional to 8,310.86, 12,468.65 and 3,384.03 is: 5,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.86 : 12,468.65 = 3,384.03 : x
  2. Step 2: Convert to fraction form
    8,310.86/12,468.65 = 3,384.03/x
  3. Step 3: Cross multiply
    8,310.86x = 12,468.65 × 3,384.03
  4. Step 4: Simplify right side
    8,310.86x = 42,194,285.66
  5. Step 5: Solve for x
    x = 42,194,285.66/8,310.86
  6. Step 6: Final answer
    x = 5,077.01

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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.