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Finding the Fourth Proportional to 8,410.83, 12,618.24 and 2,567.07

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Solution

The fourth proportional to 8,410.83, 12,618.24 and 2,567.07 is: 3,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.83 : 12,618.24 = 2,567.07 : x
  2. Step 2: Convert to fraction form
    8,410.83/12,618.24 = 2,567.07/x
  3. Step 3: Cross multiply
    8,410.83x = 12,618.24 × 2,567.07
  4. Step 4: Simplify right side
    8,410.83x = 32,391,905.36
  5. Step 5: Solve for x
    x = 32,391,905.36/8,410.83
  6. Step 6: Final answer
    x = 3,851.21

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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.