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Finding the Fourth Proportional to 7,839.38, 10,819.02 and 4,303.28

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Solution

The fourth proportional to 7,839.38, 10,819.02 and 4,303.28 is: 5,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.38 : 10,819.02 = 4,303.28 : x
  2. Step 2: Convert to fraction form
    7,839.38/10,819.02 = 4,303.28/x
  3. Step 3: Cross multiply
    7,839.38x = 10,819.02 × 4,303.28
  4. Step 4: Simplify right side
    7,839.38x = 46,557,272.39
  5. Step 5: Solve for x
    x = 46,557,272.39/7,839.38
  6. Step 6: Final answer
    x = 5,938.90

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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.