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Finding the Fourth Proportional to 7,462.88, 11,186.12 and 3,077.94

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Solution

The fourth proportional to 7,462.88, 11,186.12 and 3,077.94 is: 4,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.88 : 11,186.12 = 3,077.94 : x
  2. Step 2: Convert to fraction form
    7,462.88/11,186.12 = 3,077.94/x
  3. Step 3: Cross multiply
    7,462.88x = 11,186.12 × 3,077.94
  4. Step 4: Simplify right side
    7,462.88x = 34,430,190.80
  5. Step 5: Solve for x
    x = 34,430,190.80/7,462.88
  6. Step 6: Final answer
    x = 4,613.53

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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.