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Finding the Fourth Proportional to 7,743.64, 11,615.52 and 2,549.50

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Solution

The fourth proportional to 7,743.64, 11,615.52 and 2,549.50 is: 3,824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.64 : 11,615.52 = 2,549.50 : x
  2. Step 2: Convert to fraction form
    7,743.64/11,615.52 = 2,549.50/x
  3. Step 3: Cross multiply
    7,743.64x = 11,615.52 × 2,549.50
  4. Step 4: Simplify right side
    7,743.64x = 29,613,768.24
  5. Step 5: Solve for x
    x = 29,613,768.24/7,743.64
  6. Step 6: Final answer
    x = 3,824.27

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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.