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Finding the Fourth Proportional to 8,492.75, 12,735.01 and 3,561.06

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Solution

The fourth proportional to 8,492.75, 12,735.01 and 3,561.06 is: 5,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.75 : 12,735.01 = 3,561.06 : x
  2. Step 2: Convert to fraction form
    8,492.75/12,735.01 = 3,561.06/x
  3. Step 3: Cross multiply
    8,492.75x = 12,735.01 × 3,561.06
  4. Step 4: Simplify right side
    8,492.75x = 45,350,186.92
  5. Step 5: Solve for x
    x = 45,350,186.92/8,492.75
  6. Step 6: Final answer
    x = 5,339.87

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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.