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Finding the Fourth Proportional to 7,698.74, 11,548.68 and 2,630.90

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Solution

The fourth proportional to 7,698.74, 11,548.68 and 2,630.90 is: 3,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.74 : 11,548.68 = 2,630.90 : x
  2. Step 2: Convert to fraction form
    7,698.74/11,548.68 = 2,630.90/x
  3. Step 3: Cross multiply
    7,698.74x = 11,548.68 × 2,630.90
  4. Step 4: Simplify right side
    7,698.74x = 30,383,422.21
  5. Step 5: Solve for x
    x = 30,383,422.21/7,698.74
  6. Step 6: Final answer
    x = 3,946.54

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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.