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Finding the Fourth Proportional to 8,564.67, 12,847.59 and 2,721.24

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Solution

The fourth proportional to 8,564.67, 12,847.59 and 2,721.24 is: 4,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.67 : 12,847.59 = 2,721.24 : x
  2. Step 2: Convert to fraction form
    8,564.67/12,847.59 = 2,721.24/x
  3. Step 3: Cross multiply
    8,564.67x = 12,847.59 × 2,721.24
  4. Step 4: Simplify right side
    8,564.67x = 34,961,375.81
  5. Step 5: Solve for x
    x = 34,961,375.81/8,564.67
  6. Step 6: Final answer
    x = 4,082.05

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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.