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Finding the Fourth Proportional to 7,107.86, 10,654.50 and 2,724.14

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Solution

The fourth proportional to 7,107.86, 10,654.50 and 2,724.14 is: 4,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.86 : 10,654.50 = 2,724.14 : x
  2. Step 2: Convert to fraction form
    7,107.86/10,654.50 = 2,724.14/x
  3. Step 3: Cross multiply
    7,107.86x = 10,654.50 × 2,724.14
  4. Step 4: Simplify right side
    7,107.86x = 29,024,349.63
  5. Step 5: Solve for x
    x = 29,024,349.63/7,107.86
  6. Step 6: Final answer
    x = 4,083.42

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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.