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Finding the Fourth Proportional to 7,166.37, 10,748.19 and 2,489.43

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Solution

The fourth proportional to 7,166.37, 10,748.19 and 2,489.43 is: 3,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.37 : 10,748.19 = 2,489.43 : x
  2. Step 2: Convert to fraction form
    7,166.37/10,748.19 = 2,489.43/x
  3. Step 3: Cross multiply
    7,166.37x = 10,748.19 × 2,489.43
  4. Step 4: Simplify right side
    7,166.37x = 26,756,916.27
  5. Step 5: Solve for x
    x = 26,756,916.27/7,166.37
  6. Step 6: Final answer
    x = 3,733.68

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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.