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Finding the Fourth Proportional to 8,530.67, 12,792.94 and 3,267.16

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Solution

The fourth proportional to 8,530.67, 12,792.94 and 3,267.16 is: 4,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.67 : 12,792.94 = 3,267.16 : x
  2. Step 2: Convert to fraction form
    8,530.67/12,792.94 = 3,267.16/x
  3. Step 3: Cross multiply
    8,530.67x = 12,792.94 × 3,267.16
  4. Step 4: Simplify right side
    8,530.67x = 41,796,509.72
  5. Step 5: Solve for x
    x = 41,796,509.72/8,530.67
  6. Step 6: Final answer
    x = 4,899.56

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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.