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Finding the Fourth Proportional to 8,227.83, 12,342.51 and 2,304.72

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Solution

The fourth proportional to 8,227.83, 12,342.51 and 2,304.72 is: 3,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.83 : 12,342.51 = 2,304.72 : x
  2. Step 2: Convert to fraction form
    8,227.83/12,342.51 = 2,304.72/x
  3. Step 3: Cross multiply
    8,227.83x = 12,342.51 × 2,304.72
  4. Step 4: Simplify right side
    8,227.83x = 28,446,029.65
  5. Step 5: Solve for x
    x = 28,446,029.65/8,227.83
  6. Step 6: Final answer
    x = 3,457.29

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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.