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Finding the Fourth Proportional to 7,422.06, 10,242.39 and 4,019.07

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Solution

The fourth proportional to 7,422.06, 10,242.39 and 4,019.07 is: 5,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.06 : 10,242.39 = 4,019.07 : x
  2. Step 2: Convert to fraction form
    7,422.06/10,242.39 = 4,019.07/x
  3. Step 3: Cross multiply
    7,422.06x = 10,242.39 × 4,019.07
  4. Step 4: Simplify right side
    7,422.06x = 41,164,882.38
  5. Step 5: Solve for x
    x = 41,164,882.38/7,422.06
  6. Step 6: Final answer
    x = 5,546.29

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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.