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Finding the Fourth Proportional to 8,411.23, 12,616.89 and 2,567.89

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Solution

The fourth proportional to 8,411.23, 12,616.89 and 2,567.89 is: 3,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.23 : 12,616.89 = 2,567.89 : x
  2. Step 2: Convert to fraction form
    8,411.23/12,616.89 = 2,567.89/x
  3. Step 3: Cross multiply
    8,411.23x = 12,616.89 × 2,567.89
  4. Step 4: Simplify right side
    8,411.23x = 32,398,785.66
  5. Step 5: Solve for x
    x = 32,398,785.66/8,411.23
  6. Step 6: Final answer
    x = 3,851.85

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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.