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Finding the Fourth Proportional to 7,967.96, 11,939.46 and 5,040.08

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Solution

The fourth proportional to 7,967.96, 11,939.46 and 5,040.08 is: 7,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.96 : 11,939.46 = 5,040.08 : x
  2. Step 2: Convert to fraction form
    7,967.96/11,939.46 = 5,040.08/x
  3. Step 3: Cross multiply
    7,967.96x = 11,939.46 × 5,040.08
  4. Step 4: Simplify right side
    7,967.96x = 60,175,844.51
  5. Step 5: Solve for x
    x = 60,175,844.51/7,967.96
  6. Step 6: Final answer
    x = 7,552.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.