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Finding the Fourth Proportional to 7,996.38, 11,019.42 and 5,754.30

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Solution

The fourth proportional to 7,996.38, 11,019.42 and 5,754.30 is: 7,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.38 : 11,019.42 = 5,754.30 : x
  2. Step 2: Convert to fraction form
    7,996.38/11,019.42 = 5,754.30/x
  3. Step 3: Cross multiply
    7,996.38x = 11,019.42 × 5,754.30
  4. Step 4: Simplify right side
    7,996.38x = 63,409,048.51
  5. Step 5: Solve for x
    x = 63,409,048.51/7,996.38
  6. Step 6: Final answer
    x = 7,929.72

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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.