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Finding the Fourth Proportional to 7,605.20, 11,408.52 and 3,161.93

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Solution

The fourth proportional to 7,605.20, 11,408.52 and 3,161.93 is: 4,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.20 : 11,408.52 = 3,161.93 : x
  2. Step 2: Convert to fraction form
    7,605.20/11,408.52 = 3,161.93/x
  3. Step 3: Cross multiply
    7,605.20x = 11,408.52 × 3,161.93
  4. Step 4: Simplify right side
    7,605.20x = 36,072,941.64
  5. Step 5: Solve for x
    x = 36,072,941.64/7,605.20
  6. Step 6: Final answer
    x = 4,743.19

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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.