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Finding the Fourth Proportional to 7,145.18, 9,860.11 and 3,958.34

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Solution

The fourth proportional to 7,145.18, 9,860.11 and 3,958.34 is: 5,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.18 : 9,860.11 = 3,958.34 : x
  2. Step 2: Convert to fraction form
    7,145.18/9,860.11 = 3,958.34/x
  3. Step 3: Cross multiply
    7,145.18x = 9,860.11 × 3,958.34
  4. Step 4: Simplify right side
    7,145.18x = 39,029,667.82
  5. Step 5: Solve for x
    x = 39,029,667.82/7,145.18
  6. Step 6: Final answer
    x = 5,462.38

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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.