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Finding the Fourth Proportional to 7,967, 11,953.92 and 4,268.18

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Solution

The fourth proportional to 7,967, 11,953.92 and 4,268.18 is: 6,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967 : 11,953.92 = 4,268.18 : x
  2. Step 2: Convert to fraction form
    7,967/11,953.92 = 4,268.18/x
  3. Step 3: Cross multiply
    7,967x = 11,953.92 × 4,268.18
  4. Step 4: Simplify right side
    7,967x = 51,021,482.27
  5. Step 5: Solve for x
    x = 51,021,482.27/7,967
  6. Step 6: Final answer
    x = 6,404.10

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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.