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Finding the Fourth Proportional to 8,492.72, 12,731.81 and 3,224.75

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Solution

The fourth proportional to 8,492.72, 12,731.81 and 3,224.75 is: 4,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.72 : 12,731.81 = 3,224.75 : x
  2. Step 2: Convert to fraction form
    8,492.72/12,731.81 = 3,224.75/x
  3. Step 3: Cross multiply
    8,492.72x = 12,731.81 × 3,224.75
  4. Step 4: Simplify right side
    8,492.72x = 41,056,824.51
  5. Step 5: Solve for x
    x = 41,056,824.51/8,492.72
  6. Step 6: Final answer
    x = 4,834.36

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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.