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Finding the Fourth Proportional to 8,495.57, 12,741.13 and 3,812.96

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Solution

The fourth proportional to 8,495.57, 12,741.13 and 3,812.96 is: 5,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.57 : 12,741.13 = 3,812.96 : x
  2. Step 2: Convert to fraction form
    8,495.57/12,741.13 = 3,812.96/x
  3. Step 3: Cross multiply
    8,495.57x = 12,741.13 × 3,812.96
  4. Step 4: Simplify right side
    8,495.57x = 48,581,455.66
  5. Step 5: Solve for x
    x = 48,581,455.66/8,495.57
  6. Step 6: Final answer
    x = 5,718.44

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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.