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Finding the Fourth Proportional to 8,203.24, 12,304.88 and 2,359.86

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Solution

The fourth proportional to 8,203.24, 12,304.88 and 2,359.86 is: 3,539.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.24 : 12,304.88 = 2,359.86 : x
  2. Step 2: Convert to fraction form
    8,203.24/12,304.88 = 2,359.86/x
  3. Step 3: Cross multiply
    8,203.24x = 12,304.88 × 2,359.86
  4. Step 4: Simplify right side
    8,203.24x = 29,037,794.12
  5. Step 5: Solve for x
    x = 29,037,794.12/8,203.24
  6. Step 6: Final answer
    x = 3,539.80

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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.