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Finding the Fourth Proportional to 7,543.38, 10,410.49 and 4,186.14

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Solution

The fourth proportional to 7,543.38, 10,410.49 and 4,186.14 is: 5,777.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.38 : 10,410.49 = 4,186.14 : x
  2. Step 2: Convert to fraction form
    7,543.38/10,410.49 = 4,186.14/x
  3. Step 3: Cross multiply
    7,543.38x = 10,410.49 × 4,186.14
  4. Step 4: Simplify right side
    7,543.38x = 43,579,734.80
  5. Step 5: Solve for x
    x = 43,579,734.80/7,543.38
  6. Step 6: Final answer
    x = 5,777.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.