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Finding the Fourth Proportional to 8,457.24, 12,685.86 and 3,837

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Solution

The fourth proportional to 8,457.24, 12,685.86 and 3,837 is: 5,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.24 : 12,685.86 = 3,837 : x
  2. Step 2: Convert to fraction form
    8,457.24/12,685.86 = 3,837/x
  3. Step 3: Cross multiply
    8,457.24x = 12,685.86 × 3,837
  4. Step 4: Simplify right side
    8,457.24x = 48,675,644.82
  5. Step 5: Solve for x
    x = 48,675,644.82/8,457.24
  6. Step 6: Final answer
    x = 5,755.50

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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.