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Finding the Fourth Proportional to 7,602.26, 11,405.40 and 2,408.12

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Solution

The fourth proportional to 7,602.26, 11,405.40 and 2,408.12 is: 3,612.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.26 : 11,405.40 = 2,408.12 : x
  2. Step 2: Convert to fraction form
    7,602.26/11,405.40 = 2,408.12/x
  3. Step 3: Cross multiply
    7,602.26x = 11,405.40 × 2,408.12
  4. Step 4: Simplify right side
    7,602.26x = 27,465,571.85
  5. Step 5: Solve for x
    x = 27,465,571.85/7,602.26
  6. Step 6: Final answer
    x = 3,612.82

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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.