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Finding the Fourth Proportional to 8,506.74, 12,765.09 and 3,576

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Solution

The fourth proportional to 8,506.74, 12,765.09 and 3,576 is: 5,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.74 : 12,765.09 = 3,576 : x
  2. Step 2: Convert to fraction form
    8,506.74/12,765.09 = 3,576/x
  3. Step 3: Cross multiply
    8,506.74x = 12,765.09 × 3,576
  4. Step 4: Simplify right side
    8,506.74x = 45,647,961.84
  5. Step 5: Solve for x
    x = 45,647,961.84/8,506.74
  6. Step 6: Final answer
    x = 5,366.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.