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Finding the Fourth Proportional to 8,968, 12,375.84 and 5,242

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Solution

The fourth proportional to 8,968, 12,375.84 and 5,242 is: 7,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968 : 12,375.84 = 5,242 : x
  2. Step 2: Convert to fraction form
    8,968/12,375.84 = 5,242/x
  3. Step 3: Cross multiply
    8,968x = 12,375.84 × 5,242
  4. Step 4: Simplify right side
    8,968x = 64,874,153.28
  5. Step 5: Solve for x
    x = 64,874,153.28/8,968
  6. Step 6: Final answer
    x = 7,233.96

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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.