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Finding the Fourth Proportional to 7,758.36, 11,630.34 and 3,538.44

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Solution

The fourth proportional to 7,758.36, 11,630.34 and 3,538.44 is: 5,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.36 : 11,630.34 = 3,538.44 : x
  2. Step 2: Convert to fraction form
    7,758.36/11,630.34 = 3,538.44/x
  3. Step 3: Cross multiply
    7,758.36x = 11,630.34 × 3,538.44
  4. Step 4: Simplify right side
    7,758.36x = 41,153,260.27
  5. Step 5: Solve for x
    x = 41,153,260.27/7,758.36
  6. Step 6: Final answer
    x = 5,304.38

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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.