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Finding the Fourth Proportional to 8,538.34, 12,809.00 and 2,615.09

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Solution

The fourth proportional to 8,538.34, 12,809.00 and 2,615.09 is: 3,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.34 : 12,809.00 = 2,615.09 : x
  2. Step 2: Convert to fraction form
    8,538.34/12,809.00 = 2,615.09/x
  3. Step 3: Cross multiply
    8,538.34x = 12,809.00 × 2,615.09
  4. Step 4: Simplify right side
    8,538.34x = 33,496,674.73
  5. Step 5: Solve for x
    x = 33,496,674.73/8,538.34
  6. Step 6: Final answer
    x = 3,923.09

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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.