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Finding the Fourth Proportional to 8,567.34, 12,851.42 and 2,724

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Solution

The fourth proportional to 8,567.34, 12,851.42 and 2,724 is: 4,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.34 : 12,851.42 = 2,724 : x
  2. Step 2: Convert to fraction form
    8,567.34/12,851.42 = 2,724/x
  3. Step 3: Cross multiply
    8,567.34x = 12,851.42 × 2,724
  4. Step 4: Simplify right side
    8,567.34x = 35,007,268.08
  5. Step 5: Solve for x
    x = 35,007,268.08/8,567.34
  6. Step 6: Final answer
    x = 4,086.13

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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.