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Finding the Fourth Proportional to 8,410.96, 12,617.76 and 2,567.08

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Solution

The fourth proportional to 8,410.96, 12,617.76 and 2,567.08 is: 3,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.96 : 12,617.76 = 2,567.08 : x
  2. Step 2: Convert to fraction form
    8,410.96/12,617.76 = 2,567.08/x
  3. Step 3: Cross multiply
    8,410.96x = 12,617.76 × 2,567.08
  4. Step 4: Simplify right side
    8,410.96x = 32,390,799.34
  5. Step 5: Solve for x
    x = 32,390,799.34/8,410.96
  6. Step 6: Final answer
    x = 3,851.02

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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.