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Finding the Fourth Proportional to 7,315.38, 10,095.24 and 3,958.19

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Solution

The fourth proportional to 7,315.38, 10,095.24 and 3,958.19 is: 5,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.38 : 10,095.24 = 3,958.19 : x
  2. Step 2: Convert to fraction form
    7,315.38/10,095.24 = 3,958.19/x
  3. Step 3: Cross multiply
    7,315.38x = 10,095.24 × 3,958.19
  4. Step 4: Simplify right side
    7,315.38x = 39,958,878.02
  5. Step 5: Solve for x
    x = 39,958,878.02/7,315.38
  6. Step 6: Final answer
    x = 5,462.31

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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.