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Finding the Fourth Proportional to 8,204.72, 12,304.52 and 2,359.76

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Solution

The fourth proportional to 8,204.72, 12,304.52 and 2,359.76 is: 3,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.72 : 12,304.52 = 2,359.76 : x
  2. Step 2: Convert to fraction form
    8,204.72/12,304.52 = 2,359.76/x
  3. Step 3: Cross multiply
    8,204.72x = 12,304.52 × 2,359.76
  4. Step 4: Simplify right side
    8,204.72x = 29,035,714.12
  5. Step 5: Solve for x
    x = 29,035,714.12/8,204.72
  6. Step 6: Final answer
    x = 3,538.90

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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.