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Finding the Fourth Proportional to 7,946.38, 10,958.37 and 4,759.16

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Solution

The fourth proportional to 7,946.38, 10,958.37 and 4,759.16 is: 6,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.38 : 10,958.37 = 4,759.16 : x
  2. Step 2: Convert to fraction form
    7,946.38/10,958.37 = 4,759.16/x
  3. Step 3: Cross multiply
    7,946.38x = 10,958.37 × 4,759.16
  4. Step 4: Simplify right side
    7,946.38x = 52,152,636.17
  5. Step 5: Solve for x
    x = 52,152,636.17/7,946.38
  6. Step 6: Final answer
    x = 6,563.07

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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.