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Finding the Fourth Proportional to 8,410.64, 12,617.93 and 2,567.24

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Solution

The fourth proportional to 8,410.64, 12,617.93 and 2,567.24 is: 3,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.64 : 12,617.93 = 2,567.24 : x
  2. Step 2: Convert to fraction form
    8,410.64/12,617.93 = 2,567.24/x
  3. Step 3: Cross multiply
    8,410.64x = 12,617.93 × 2,567.24
  4. Step 4: Simplify right side
    8,410.64x = 32,393,241.78
  5. Step 5: Solve for x
    x = 32,393,241.78/8,410.64
  6. Step 6: Final answer
    x = 3,851.46

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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.