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Finding the Fourth Proportional to 8,291.04, 12,440.73 and 5,170.26

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Solution

The fourth proportional to 8,291.04, 12,440.73 and 5,170.26 is: 7,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.04 : 12,440.73 = 5,170.26 : x
  2. Step 2: Convert to fraction form
    8,291.04/12,440.73 = 5,170.26/x
  3. Step 3: Cross multiply
    8,291.04x = 12,440.73 × 5,170.26
  4. Step 4: Simplify right side
    8,291.04x = 64,321,808.69
  5. Step 5: Solve for x
    x = 64,321,808.69/8,291.04
  6. Step 6: Final answer
    x = 7,757.99

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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.