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Finding the Fourth Proportional to 7,242.85, 10,857.34 and 2,309.77

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Solution

The fourth proportional to 7,242.85, 10,857.34 and 2,309.77 is: 3,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.85 : 10,857.34 = 2,309.77 : x
  2. Step 2: Convert to fraction form
    7,242.85/10,857.34 = 2,309.77/x
  3. Step 3: Cross multiply
    7,242.85x = 10,857.34 × 2,309.77
  4. Step 4: Simplify right side
    7,242.85x = 25,077,958.21
  5. Step 5: Solve for x
    x = 25,077,958.21/7,242.85
  6. Step 6: Final answer
    x = 3,462.44

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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.