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Finding the Fourth Proportional to 8,507.69, 12,758.69 and 3,576.41

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Solution

The fourth proportional to 8,507.69, 12,758.69 and 3,576.41 is: 5,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.69 : 12,758.69 = 3,576.41 : x
  2. Step 2: Convert to fraction form
    8,507.69/12,758.69 = 3,576.41/x
  3. Step 3: Cross multiply
    8,507.69x = 12,758.69 × 3,576.41
  4. Step 4: Simplify right side
    8,507.69x = 45,630,224.83
  5. Step 5: Solve for x
    x = 45,630,224.83/8,507.69
  6. Step 6: Final answer
    x = 5,363.41

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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.