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Finding the Fourth Proportional to 7,954.38, 10,976.31 and 4,417.38

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Solution

The fourth proportional to 7,954.38, 10,976.31 and 4,417.38 is: 6,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.38 : 10,976.31 = 4,417.38 : x
  2. Step 2: Convert to fraction form
    7,954.38/10,976.31 = 4,417.38/x
  3. Step 3: Cross multiply
    7,954.38x = 10,976.31 × 4,417.38
  4. Step 4: Simplify right side
    7,954.38x = 48,486,532.27
  5. Step 5: Solve for x
    x = 48,486,532.27/7,954.38
  6. Step 6: Final answer
    x = 6,095.58

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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.