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Finding the Fourth Proportional to 7,242.59, 10,862.97 and 2,311.82

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Solution

The fourth proportional to 7,242.59, 10,862.97 and 2,311.82 is: 3,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.59 : 10,862.97 = 2,311.82 : x
  2. Step 2: Convert to fraction form
    7,242.59/10,862.97 = 2,311.82/x
  3. Step 3: Cross multiply
    7,242.59x = 10,862.97 × 2,311.82
  4. Step 4: Simplify right side
    7,242.59x = 25,113,176.99
  5. Step 5: Solve for x
    x = 25,113,176.99/7,242.59
  6. Step 6: Final answer
    x = 3,467.43

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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.