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Finding the Fourth Proportional to 7,161.99, 10,748.90 and 3,654.57

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Solution

The fourth proportional to 7,161.99, 10,748.90 and 3,654.57 is: 5,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.99 : 10,748.90 = 3,654.57 : x
  2. Step 2: Convert to fraction form
    7,161.99/10,748.90 = 3,654.57/x
  3. Step 3: Cross multiply
    7,161.99x = 10,748.90 × 3,654.57
  4. Step 4: Simplify right side
    7,161.99x = 39,282,607.47
  5. Step 5: Solve for x
    x = 39,282,607.47/7,161.99
  6. Step 6: Final answer
    x = 5,484.87

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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.