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Finding the Fourth Proportional to 7,771.72, 11,653.48 and 3,613.69

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Solution

The fourth proportional to 7,771.72, 11,653.48 and 3,613.69 is: 5,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.72 : 11,653.48 = 3,613.69 : x
  2. Step 2: Convert to fraction form
    7,771.72/11,653.48 = 3,613.69/x
  3. Step 3: Cross multiply
    7,771.72x = 11,653.48 × 3,613.69
  4. Step 4: Simplify right side
    7,771.72x = 42,112,055.53
  5. Step 5: Solve for x
    x = 42,112,055.53/7,771.72
  6. Step 6: Final answer
    x = 5,418.63

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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.