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Finding the Fourth Proportional to 7,156.96, 10,735.68 and 5,086.24

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Solution

The fourth proportional to 7,156.96, 10,735.68 and 5,086.24 is: 7,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.96 : 10,735.68 = 5,086.24 : x
  2. Step 2: Convert to fraction form
    7,156.96/10,735.68 = 5,086.24/x
  3. Step 3: Cross multiply
    7,156.96x = 10,735.68 × 5,086.24
  4. Step 4: Simplify right side
    7,156.96x = 54,604,245.04
  5. Step 5: Solve for x
    x = 54,604,245.04/7,156.96
  6. Step 6: Final answer
    x = 7,629.53

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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.